Chapter 2 Resource Masters - Bath County SchoolsPractice: Word Problems Workbook (Spanish) 0-07-860093-6 Reading to Learn Mathematics Workbook 0-07-861057-5 Answers for WorkbooksThe

Course 1

Chapter XResource Masters

Course 1

Chapter 2Resource Masters

Copyright © by The McGraw-Hill Companies, Inc. All rights reserved.Printed in the United States of America. Permission is granted to reproduce thematerial contained herein on the condition that such material be reproduced only forclassroom use; be provided to students, teacher, and families without charge; andbe used solely in conjunction with Glencoe Mathematics: Applications andConcepts, Course 1. Any other reproduction, for use or sale, is prohibited withoutprior written permission of the publisher.

Send all inquiries to:Glencoe/McGraw-Hill8787 Orion PlaceColumbus, OH 43240

Mathematics: Applications and Concepts, Course 1ISBN: 0-07-860065-0 Chapter 2 Resource Masters

1 2 3 4 5 6 7 8 9 10 024 12 11 10 09 08 07 06 05 04 03

Consumable Workbooks

Many of the worksheets contained in the Chapter Resource Mastersbooklets are available as consumable workbooks in both English andSpanish.

Study Guide and Intervention Workbook 0-07-860085-5

Study Guide and Intervention Workbook (Spanish) 0-07-860091-X

Practice: Skills Workbook 0-07-860086-3

Practice: Skills Workbook (Spanish) 0-07-860092-8

Practice: Word Problems Workbook 0-07-860087-1

Practice: Word Problems Workbook (Spanish) 0-07-860093-6

Reading to Learn Mathematics Workbook 0-07-861057-5

Answers for Workbooks The answers for Chapter 2 of theseworkbooks can be found in the back of this Chapter Resource Mastersbooklet.

Spanish Assessment Masters Spanish versions of forms 2A and 2C ofthe Chapter 2 Test are available in the Glencoe Mathematics: Applicationsand Concepts Spanish Assessment Masters, Course 1 (0-07-860095-2).

iii

Vocabulary Builder .............................vii

Family Letter............................................ix

Family Activity ........................................x

Lesson 2-1Study Guide and Intervention ..........................61Practice: Skills ..................................................62Practice: Word Problems..................................63Reading to Learn Mathematics........................64Enrichment .......................................................65







Lesson 2-8Study Guide and Intervention ..........................96Practice: Skills ..................................................97Practice: Word Problems..................................98Reading to Learn Mathematics........................99Enrichment .....................................................100

Chapter 2 AssessmentChapter 2 Test, Form 1 ..........................101–102Chapter 2 Test, Form 2A........................103–104Chapter 2 Test, Form 2B........................105–106Chapter 2 Test, Form 2C........................107–108Chapter 2 Test, Form 2D........................109–110Chapter 2 Test, Form 3 ..........................111–112Chapter 2 Extended Response Assessment .113Chapter 2 Vocabulary Test/Review.................114Chapter 2 Quizzes 1 & 2................................115Chapter 2 Quizzes 3 & 4................................116Chapter 2 Mid-Chapter Test ...........................117Chapter 2 Cumulative Review........................118Chapter 2 Standardized Test Practice....119–120Unit 1 Test/Review..................................121–122

Standardized Test Practice Student Recording Sheet ............................A1

Standardized Test Practice Rubric...................A2ANSWERS .............................................A3–A33

CONTENTS

iv

Teacher’s Guide to Using the Chapter 2 Resource Masters

The Fast File Chapter Resource system allows you to conveniently file the resources youuse most often. The Chapter 2 Resource Masters includes the core materials needed forChapter 2. These materials include worksheets, extensions, and assessment options. Theanswers for these pages appear at the back of this booklet.

All of the materials found in this booklet are included for viewing and printing in theGlencoe Mathematics: Applications and Concepts, Course 1, TeacherWorks CD-ROM.

Vocabulary Builder Pages vii-viiiinclude a student study tool that presentsup to twenty of the key vocabulary termsfrom the chapter. Students are to recorddefinitions and/or examples for each term.You may suggest that students highlight orstar the terms with which they are notfamiliar.

When to Use Give these pages to studentsbefore beginning Lesson 2-1. Encouragethem to add these pages to theirmathematics study notebook. Remind themto add definitions and examples as theycomplete each lesson.

Family Letter and Family ActivityPage ix is a letter to inform your students’families of the requirements of the chapter.The family activity on page x helps themunderstand how the mathematics studentsare learning is applicable to real life.

When to Use Give these pages to studentsto take home before beginning the chapter.

Study Guide and InterventionThere is one Study Guide and Interventionmaster for each lesson in Chapter 2.

When to Use Use these masters asreteaching activities for students who needadditional reinforcement. These pages canalso be used in conjunction with the StudentEdition as an instructional tool for studentswho have been absent.

Practice: Skills There is one master foreach lesson. These provide practice thatmore closely follows the structure of thePractice and Applications section of theStudent Edition exercises.

When to Use These provide additionalpractice options or may be used ashomework for second day teaching of thelesson.

Practice: Word Problems There is onemaster for each lesson. These providepractice in solving word problems that applythe concepts of the lesson.

When to Use These provide additionalpractice options or may be used ashomework for second day teaching of thelesson.

Reading to Learn Mathematics Onemaster is included for each lesson. The firstsection of each master asks questions aboutthe opening paragraph of the lesson in theStudent Edition. Additional questions askstudents to interpret the context of andrelationships among terms in the lesson.Finally, students are asked to summarizewhat they have learned using variousrepresentation techniques.

When to Use This master can be used as astudy tool when presenting the lesson or asan informal reading assessment afterpresenting the lesson. It is also a helpful toolfor ELL (English Language Learner)students.

v

Enrichment There is one extensionmaster for each lesson. These activities mayextend the concepts in the lesson, offer anhistorical or multicultural look at theconcepts, or widen students’ perspectives onthe mathematics they are learning. Theseare not written exclusively for honorsstudents, but are accessible for use with alllevels of students.

When to Use These may be used as extracredit, short-term projects, or as activitiesfor days when class periods are shortened.

Assessment OptionsThe assessment masters in the Chapter 2Resources Masters offer a wide range ofassessment tools for intermediate and finalassessment. The following lists describe eachassessment master and its intended use.

Chapter AssessmentChapter Tests

• Form 1 contains multiple-choice questionsand is intended for use with basic levelstudents.

• Forms 2A and 2B contain multiple-choicequestions aimed at the average levelstudent. These tests are similar in formatto offer comparable testing situations.

• Forms 2C and 2D are composed of free-response questions aimed at the averagelevel student. These tests are similar informat to offer comparable testingsituations. Grids with axes are providedfor questions assessing graphing skills.

• Form 3 is an advanced level test withfree-response questions. Grids withoutaxes are provided for questions assessinggraphing skills.

All of the above tests include a free-responseBonus question.

• The Extended-Response Assessmentincludes performance assessment tasksthat are suitable for all students. Ascoring rubric is included for evaluationguidelines. Sample answers are providedfor assessment.

• A Vocabulary Test, suitable for allstudents, includes a list of the vocabularywords in the chapter and ten questionsassessing students’ knowledge of thoseterms. This can also be used inconjunction with one of the chapter testsor as a review worksheet.

Intermediate Assessment• Four free-response quizzes are included

to offer assessment at appropriateintervals in the chapter.

• A Mid-Chapter Test provides an optionto assess the first half of the chapter. It iscomposed of both multiple-choice and free-response questions.

Continuing Assessment• The Cumulative Review provides

students an opportunity to reinforce andretain skills as they proceed through theirstudy of Glencoe Mathematics:Applications and Concepts, Course 1. Itcan also be used as a test. This masterincludes free-response questions.

• The Standardized Test Practice offerscontinuing review of pre-algebra conceptsin various formats, which may appear onthe standardized tests that they mayencounter. This practice includes multiple-choice, short response, grid-in, andextended response questions. Bubble-inand grid-in answer sections are providedon the master.

Answers• Page A1 is an answer sheet for the

Standardized Test Practice questions thatappear in the Student Edition on pages 94–95. This improves students’familiarity with the answer formats theymay encounter in test taking.

• Detailed rubrics for assessing theextended response questions on page 95are provided on page A2.

• The answers for the lesson-by-lessonmasters are provided as reduced pageswith answers appearing in red.

• Full-size answer keys are provided for theassessment masters in this booklet.

Vo

cab

ula

ry B

uild

er

© Glencoe/McGraw-Hill vii Mathematics: Applications and Concepts, Course 1

NAME ________________________________________ DATE ______________ PERIOD _____

Reading to Learn MathematicsVocabulary Builder

This is an alphabetical list of new vocabulary terms you will learn inChapter 2. As you study the chapter, complete each term’s definitionor description. Remember to add the page number where you foundthe term. Add this page to your math study notebook to reviewvocabulary at the end of the chapter.

Vocabulary TermFound

Definition/Description/Exampleon Page

average

bar graph

box-and-whisker plot

circle graph

data

frequency table

graph

horizontal axis

interval

key

leaves

© Glencoe/McGraw-Hill viii Mathematics: Applications and Concepts, Course 1

Vocabulary TermFound

Definition/Description/Exampleon Page

line graph

mean

measure of central tendency

median

mode

outlier

range

scale

statistics

stem-and-leaf plot

stems

tally mark

vertical axis

NAME ________________________________________ DATE ______________ PERIOD _____

Reading to Learn MathematicsVocabulary Builder (continued)

Family LetterNAME ________________________________________ DATE ______________ PERIOD _____

© Glencoe/McGraw-Hill ix Mathematics: Applications and Concepts, Course 1

Dear Parent or Guardian:

We use math in many of our daily routines. One of the things

we try to do in this class is relate activities in the classroom to

activities in the real world. Making this connection will help

students realize the importance of learning math concepts.

In Chapter 2, Statistics and Graphs, your child will be learn-

ing about bar graphs, line graphs, circle graphs, stem-and-leaf

plots, frequency tables, and mean, median, and mode. In the

study of this chapter, your child will complete a variety of daily

classroom assignments and activities and possibly produce a

chapter project.

By signing this letter and returning it with your child, you

agree to encourage your child by getting involved. Enclosed is

an activity that you can do with your child that also relates the

math we will be learning in Chapter 2 to the real world. You

may also wish to log on to the Online Study Tools for self-

check quizzes, Parent and Student Study Guide pages, and

other study help at www.msmath1.net. If you have any ques-

tions or comments, feel free to contact me at school.

Sincerely,

Fam

ily L

ette

r

Signature of Parent or Guardian ______________________________________ Date ________

Family ActivityNAME ________________________________________ DATE ______________ PERIOD _____

© Glencoe/McGraw-Hill x Mathematics: Applications and Concepts, Course 1

Bar Graphs and Line Graphs1. Have a family member help you count the number of cans of food, glass

jars of food, boxes of food, and bags of food you have in your pantry.

2. Make a bar graph to represent the data.

3. Name the type of container of which you have the most (can, glass jar,box, or bag).

4. Do you have more cans of food or more bags of food?

5. Make a line graph of the data.

6. Do you think a line graph or a bar graph is better for answering thequestions? Why?

Food in Pantry Number

cansglass jarsboxesbagsother

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© Glencoe/McGraw-Hill 61 Mathematics: Applications and Concepts, Course 1

SCHOOL Vinnie recorded his scoreson this month’s math quizzes. Make a frequency table of the data. Which score did Vinnie get most often?

Step 1 Choose a scale and interval. A scale that includes all the data is 0 to 10.An interval that separates the scale into equal parts is 2.

Step 2 Draw a table with three columns and label the columns.

Step 3 List the intervals, tally the data, and add the tallies.

Since the quiz score 9 has the greatest number in the frequency column, Vinnie scored 9 most often.

MUSIC Use the table that shows the number of hours the band members practiced in a week.

1. Make a frequency table for the data.

2. Which number of hours practicing is most common?

3. How many band members practiced more than 4 hours a week?

Statistics involves collecting, organizing, analyzing, and presenting data. Data are pieces ofinformation and are usually numbers.You can organize data by making a frequency table. A frequency table shows the number of times each piece of data appears.

The parts of a frequency table:

Scale: lets you record all of the data; includes the least and the greatest number

Interval: separates the scale into equal parts

Tally marks: lets you record a mark each time a piece of data appears

Frequency: gives the sum of the tally marks for each category

NAME ________________________________________ DATE ______________ PERIOD _____

Study Guide and InterventionFrequency Tables

My Quiz Scores

9 8 9 5

5 9 6 2

9 8 9 4

My Quiz Scores

Score Tally Frequency

1–2 1 1

3–4 1 1

5–6 3 3

7–8 2 2

9–10 5 5

Hours SpentPracticing

3 4 3 5

2 3 4 3

3 2 1 5 2

1

2

4 1 3 2 1


Make a frequency table for each set of data.

1.

2.

L � Blue R � BrownG � Green H � HazelV � Violet

MOVIES Use the frequency table shown.

3. Describe the scale.

4. Describe the interval.

5. What is the most common gross sales category?

6. How many films grossed more than $299 million?

NAME ________________________________________ DATE ______________ PERIOD _____

Practice: SkillsFrequency Tables

Class Quiz Scores

4 10 8

6 9 9

8 7 7

7 5 8

8 8 10

9 6 8

All-Time Top 27 Kids’ Films

Gross Sales(millions $) Tally Frequency

100–149 554 14

150–199 5 5

200–249 2 2

250–299 4 4

300–349 2 2

Students’ Eye Colors

R G R

L L V

R R L

R H L

H R R G

R

R

G

L

R

H

R

R

H


ANIMALS For Exercises 1–3, use Table A. For Exercises 4–6, use Table B.

Table A Table B

B � beetle E � earwigS � sow bug

Practice: Word ProblemsFrequency Tables

NAME ________________________________________ DATE ______________ PERIOD _____

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Insects Under a Rock

E S B E E BS E E B S ES S B E E SB E E E B ES E B S E EB S E E S E

Weights (lb) of Dogs at the Vet Clinic

Weight Tally Frequency

1–10 554 14

11–20 5554 19

21–30 55555 25

31–40 55 10

41–50 5 5

1. Maria is counting three types of insectsshe finds under rocks in the park for anecology survey. Make a frequency tableshowing her data from Table A.

2. How many more earwigs did Mariafind than beetles?

3. When Maria writes her report, she willlist the insects in order of mostcommon to least common. What ordershould she write in her report?

4. The strength of medicine given to a dogdepends on the dog’s weight. There is adifferent strength for each weightgroup. For which weight group should aveterinarian order the most medicine?the least medicine?

5. Describe the scale and the interval inTable B.

6. How many more dogs are in the mostfrequent group than in the second mostfrequent group?


Pre-Activity Complete the activity at the top of page 50 in your textbook. Writeyour answers below.

1. What is the height of the tallest tree?

2. How many trees are between 41 and 80 feet tall?

3. Tell how you might organize the heights of the trees so that theinformation is easier to find and read.

Reading the LessonRefer to the frequency table in the middle of page 50.

4. What does the number 13 in the Frequency column indicate?

5. Does the number in the Frequency column tell you anything about the frequency of individual numbers within the data set? How do you know?

6. How is frequency related to interval?

7. Why do the numbers in the Height column begin at 51 and end at 140?

8. How does an interval make it easier to read the table?

Helping You Remember9. Write the three steps used to make a frequency table. Then, using any

data set you want, make a frequency table for those numbers.

NAME ________________________________________ DATE ______________ PERIOD _____

Reading to Learn MathematicsFrequency Tables


HistogramsOften a graph is used to picture the data in a frequency table. When frequencies are pictured in a bar graph, the graph is called a histogram.For example, at the right is a histogram thatpictures the frequencies of the scores on a mathtest. Each bar in a histogram shows the number of pieces of data in a certain interval.

Use the histogram at the right to answer each question.

1. How many scores are in the interval 81–90?

2. In which interval(s) are there exactly threescores?

3. How many scores are 70 or less?

4. Suppose that, to pass this test, a student needed a score of 61 or higher. How many students passed the test?

5. Can you tell in which interval there is the greatest number of scores? Explain.

6. Can you tell what was the highest score on thetest? Explain.

7. Use the histogram at the right. In the space below, write two questions about the data in the histogram. Then answer each question.

Pulse Rates of Studentsin a Biology Class

0

1

2

3

4

5

6

7

8

9

66–7

0

71–7

5

76–8

0

86–9

0

81–8

5

91–9

5

Freq

uenc

y

Beats per Minute

10

Scores on a Math Test

0

1

2

3

4

5

6

7

8

9

10

41–5

0

51–6

0

61–7

0

71–8

0

81–9

0

91–1

00

Freq

uenc

y

Score

EnrichmentNAME ________________________________________ DATE ______________ PERIOD _____

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Make a bar graph of the data. Compare the number of students in jazz class with the number in ballet class.

Step 1 Decide on the scale and interval.

Step 2 Label the horizontal andvertical axes.

Step 3 Draw bars for each style.Step 4 Label the graph with a

title.About twice as many studentstake ballet as take jazz.

Make a line graph of the data. Then describe the change in Gwen’s allowance from 1998 to 2002.

Step 1 Decide on the scale and interval.Step 2 Label the horizontal and vertical axes.Step 3 Draw and connect the points for each year.Step 4 Label the graph with a title.Gwen’s allowance did not change from 1998 to 1999 and then increased from 1999 to 2002.

Make the graph listed for each set of data.

1. bar graph 2. line graph

199719

9819

9920

0020

0120

02

101214161820222426

Amou

nt ($

)

Year

0

Gwen's Allowance

JazzTapBallet

6

8

4

0

2

10

12St

uden

ts

StyleModern

Dance Class Attendance

A graph is a visual way to display data. A bar graph is used to compare data.A line graph is used to show how data changes over a period of time.

NAME ________________________________________ DATE ______________ PERIOD _____

Study Guide and InterventionBar Graphs and Line Graphs

Dance Classes

Style Students

BalletTapJazzModern

1145

10

Gwen’s Allowance

Year 1997 1998 1999 2000 2001 2002

Amount ($) 10 15 15 18 20 25

Getting Ready for School

Day Time (min)

MondayTuesdayWednesdayThursdayFriday

3430372025

Riding the Bus

Student Time (min)

PaulinaOmarUlariJacobAmita

1040201535


Make a bar graph for each set of data.

1. 2.

Use the bar graph made in Exercise 1.

3. Which country made the greatest number of cars?

4. How does the number of cars made in Japan compare to the numbermade in Spain?

For Exercises 5 and 6, make a line graph for each set of data.

5. 6.

7. POPULATION Refer to the graph made in Exercise 5. Describe the changein Yuba County’s population from 1990 to 2000.

8. WEATHER Refer to the graph made in Exercise 6. Describe the change in the amount of rainfall from January to June.

Practice: SkillsBar Graphs and Line Graphs

NAME ________________________________________ DATE ______________ PERIOD _____

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Everglades National Park

Month Rainfall (inches)

JanuaryFebruaryMarchAprilMayJune

22227

10

Yuba County, California

Year Population (thousands)

199019921994199619982000

596162616060

People in America in 1630

Colony People (hundreds)

MaineNew HampshireMassachusettsNew YorkVirginia

4594

25

Cars Made in 2000

Country Cars (millions)

BrazilJapanGermanySpainU.S.A.

18526


TREES For Exercises 1, 3, and 4, use Table A. For Exercises 2, 5, and 6, use Table B.

Table A Table B

NAME ________________________________________ DATE ______________ PERIOD _____

Practice: Word ProblemsBar Graphs and Line Graphs

Average Heights of Pine Trees

Tree Height (ft)

Eastern White LodgepoleLongleafPitchPonderosa

7548

11055

140

Lemons Produced by My Tree

Year Number of Lemons

19992000200120022003

261241227855

1. You and Jorge are writing a report ondifferent kinds of pine trees. Make abar graph for the report that shows theaverage heights of different kinds ofpine trees. Use the data from Table A.

2. Table B shows the number of lemonsyour tree produced each year. Make aline graph for the data in Table B.

3. Use your graph for Exercise 1. Whichtree is about half as tall as aponderosa?

4. How does the average height of a pitchpine compare to the average height of alodgepole pine?

5. Use the line graph you made inExercise 2. Describe the change in fruitproduction for your lemon tree.

6. FRUIT Suppose you want to make agraph of the total number of lemonsproduced by your lemon tree and thetotal number of oranges produced byyour orange tree in one year. Would youmake a bar graph or a line graph?Explain.



1. What type of roller coaster is most common?

2. What might be an advantage of organizing data in a table? Are there any disadvantages of organizing data in this way?

Reading the LessonCompare the frequency table at the top of page 56 with the bar graphin the middle of the same page.

3. How are they similar?

4. How are they different?

5. For purposes of comparison, which do you find easier to use to compare differences among frequencies—the frequency table or the bar graph? Explain.

Refer to the line graph at the bottom of page 56.

6. Represent the same data in a table that uses only numbers.

7. Compare the table you just created with the line graph. Which do you think presents thedata in a way that is easier to compare changesover periods of time? Explain.

Helping You Remember8. Explain how the information in a line graph differs from the information

in a bar graph.

Reading to Learn MathematicsBar Graphs and Line Graphs

NAME ________________________________________ DATE ______________ PERIOD _____

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U.S. Wooden Roller Coasters


Line PlotsIn a line plot, data are pictured on a number line. An ✕ is used to representeach item of data. For example, the figure below is a line plot that picturesdata about the number of CDs owned by the students in a math class.

Use the line plot above to answer each question.

1. How many students own exactly eighteen CDs?

2. What number of CDs is owned by exactly three students?

3. A data item that is far apart from the rest of the data is called an outlier.Is there an outlier among these data? What is it?

4. What would you say is the number of CDs owned by the “typical” studentin this class?

5. Use the data in the table to complete the line plot below. Four data pointshave been graphed for you.

70

�

��

��

5 10 15 20 25 30 350

Number of CDs Owned by Students in a Math Class��

��

��

��

��

��

��

��

NAME ________________________________________ DATE ______________ PERIOD _____

Enrichment

Number of Seconds for 24 Sixth-Graders to Run 200 Meters

130 100 85 120 100 100 110 150 90 100 110 130125 105 100 70 125 85 95 130 105 90 105 100

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SCHOOL The circle graph shows the subjects Mike studies during homework time. Which subject does Mike spend most of his time studying?

The largest section of the graph is the sectionrepresenting math. So, math takes up the most time.

How does the time spent studying social studies compare to the spent studying science?

The section representing social studies is about twice the size of the section representingscience. So, twice as much time is spent on social studies as on science.

SURVEYS Use the graph that shows the results of a favorite colors survey.

1. Which color is the least favorite?

2. Which colors are the favorites of the same number of people?

3. How does the number of people who say green is their favoritecolor compare to the number who say yellow is their favoritecolor?

FOOD Use the graph of Mike’s study time from the Examples.

4. Which subject does Mike spend the least time studying?

5. On which two subjects together does Mike spend about the same time as reading?

6. How does the amount of time spent on math compare to the amount of time Mikespends on science?

Favorite Colors

Green19%

Yellow10%

Blue33%

Red25%

Purple3%

Orange10%

Mike's Homework

Music1%

Science8%

Math48%

SocialStudies

17%

Reading26%

A circle graph is used to compare parts of a whole. The pie-shaped sections show the groups. Thepercents add up to 100%.

NAME ________________________________________ DATE ______________ PERIOD _____

Study Guide and InterventionCircle Graphs


GEOGRAPHY Use the graph that shows how much of Earth’s land that each continent represents.

1. Which continent has the greatest area?

2. Which two continents are the smallest?

3. How does the size of Europe compare to the size of Africa?

4. How much larger is Asia than Africa?

LAKES Use the graph that shows how much of the total surface of the Great Lakes each lake takes up.

5. Which of the Great Lakes is the smallest?

6. Which two lakes are about the same size?

7. How does Lake Erie compare to Lake Ontario?

8. Which two lakes together are the same size as Lake Superior?

VACATIONS Use the graph that shows how families will spend winter vacation.

9. How will most families spend their vacations?

10. Will more families go to the beach or go shopping?

11. Compare how many families will be skiing to how many will be visiting family.

Winter Vacation

Visit Family33%

Shop22%

Beach7%

Home27%

Ski11%

Great Lakes

Ontario8%

Superior34%

Huron24%

Erie10%

Michigan24%

Continents

SouthAmerica

12%

Asia30%

NorthAmerica

16%

Australia6%

Europe7%

Africa20%

Antartica9%

NAME ________________________________________ DATE ______________ PERIOD _____

Practice: SkillsCircle Graphs


SPORTS For Exercises 1–3, use Graph A. For Exercises 4–6, use Graph B.

Graph A Graph BAttendance at the Baseball Game

Age 61and older5%

Age 31-4521%

Age 0-1525%

Age 16-3035%

Age 46-6014%

Favorite Sports ofMr. Franco's Class

Baseball49%

Hockey10%

Basketball20%

Football21%

Practice: Word ProblemsCircle Graphs

NAME ________________________________________ DATE ______________ PERIOD _____

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1. Kwan surveyed Mr. Franco’s class tofind out the favorite sports of the class.Which sport was the favorite of thelargest percent of students in the class?Which sport was the favorite of thesmallest percent of students?

2. Which sports were the favorite of aboutthe same number of students?

3. Which sport is the favorite of half asmany students as basketball?

4. Mr. Jackson kept track of attendance atthe baseball game for an advertisingagency. The agency wants to target itsadvertising to the age group that hasthe highest percent in attendance. Towhich group should the agency targetads?

5. Which two age groups have about thesame percent of people?

6. Mr. Jackson’s daughter is in the agegroup with the second highest percent.In which age group is Mr. Jackson’sdaughter?


Pre-Activity Complete the Mini Lab at the top of page 62 in your textbook.Write your answers below.

1. Make a bar graph of the data.

2. Which graph represents the data better, a circle graph or a bar graph? Explain.

Reading the Lesson3. A circle graph compares parts of a whole. How is a circle well suited for

this kind of representation?

4. At the bottom of page 62, the text says that the percents add up to 100%.Why is this important?

Helping You Remember5. Find a circle graph in a newspaper or magazine. Explain to a classmate

what the sections of the graph represent.

Driving Together in OneCar to Spring Break

NAME ________________________________________ DATE ______________ PERIOD _____

Reading to Learn MathematicsCircle Graphs


A Circle Graph MysteryThe circle graph below was drawn to show the leading causes of fire in theUnited States. However, all the labels except one have mysteriouslydisappeared.

Use the clues below to decide what the labels should be and wherethey belong. Then complete the graph. (Remember: Each label mustinclude a word or phrase and a percent.)

Clue 1 Most fires are caused by heating equipment.

Clue 2 Fires caused by electrical wiring and fires caused by heatingequipment together make up 46% of all fires.

Clue 3 The percent of fires caused by children playing is 12% less thanthe percent of fires caused by cooking.

Clue 4 The percent of fires caused by open flames is equal to thepercent of fires caused by children playing.

Clue 5 The percent of the fires caused by cooking and the percent offires caused by arson are together just 1% less than the percentof fires caused by heating equipment.

Clue 6 The percent of the fires caused by electrical wiring is 15%greater than the percent caused by children playing.

Clue 7 Fires caused by smoking and fires caused by arson togethermake up 17% of all fires.

Clue 8 Fires that result from other causes are listed in a categorycalled other.

Causes of Fires

cooking16%


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The graph shows the time Ruben spends each day practicing piano scales. Predict how much time he will spend practicing his scales on Friday.

Continue the graph with a dotted line in the samedirection until you reach a vertical position for Friday.By extending the graph, you see that Ruben will probably spend half an hour practicing piano scales on Friday.

MONEY Use the graph that shows the price of a ticket to a local high school football game over the last few years.

1. Has the price been increasing or decreasing? Explain.

2. Predict the price of a ticket in year 6 if the trendcontinues.

3. In what year do you think the price will reach $9.00 if the trend continues?

BANKS Use the graph that shows the interest rate for a savings account over the last few years.

4. What does the graph tell you about interest rates?

5. If the trend continues, when will the interest rate reach 1 percent?

1 2 3 4 5 6 7 8

3%

2%

1%

4%

5%

6%

Rate

Year

0

Interest Rates

1 2 3 4 5 6 7 8

3

2

1

4

5

6

7

8

9Pr

ice

($)

Year

0

Football Tickets

Sat.

Sun.

Mon.Tu

e.W

ed.Th

ur.Fri

.

1

2

Hour

s

Day

0

Piano Scale Practice Times

Because they show trends over time, line graphs are often used to predict future events.

NAME ________________________________________ DATE ______________ PERIOD _____

Study Guide and InterventionMaking Predictions

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INTERNET Use the graph that shows Internet users in the United States.

1. Describe the change in active Internet users from April2000 to April 2001.

2. Predict how many active users there were in October2001 if the trend continued.

3. Predict when the number of active users exceeded 115 million if the trend continued.

4. Were there more active users in January 2002 orOctober 2001? Explain.

SPORTS Use the graph that shows the winning times of the 10K Biathlon rounded to the nearestminute.

5. How did the winning time change from 1980 to 2002?

6. To the nearest minute, by how much did the winningtime change from 1980 to 2002?

7. Predict the winning time for 2006 if the trend continues.

8. Predict when the winning time will be less than 20 minutes if the trendcontinues.

'80 '84 '88 '92 '94 '98 '02 '06

26

25

24

27

28

29

30

31

32

33

Tim

e (m

in)

Winter Olympic Year

0

10K Biathlon Winning Times

April

'00

July

'00

Oct. '0

0

Jan. '0

1

April

'01

July

'01

Oct. '0

1

Jan. '0

2

75

70

65

80

85

90

95

100

105

110

115

120

User

s (m

illio

ns)

Date

0

Active Internet Users

NAME ________________________________________ DATE ______________ PERIOD _____

Practice: SkillsMaking Predictions


FITNESS For Exercises 1–3, use Graph A. For Exercises 4–6, use Graph B.

Graph A Graph B

1 2 3 4 5 6 7 8

30

20

10

40

50

60

70

80

Num

ber o

f Sit-

ups

Week

0

Sit-ups

1 2 3 4 5 6

6

4

2

8

10

12

14

Num

ber o

f Stu

dent

s

Week

0

Aerobics Class

NAME ________________________________________ DATE ______________ PERIOD _____

Practice: Word ProblemsMaking Predictions

1. Refer to Graph A. Describe the changein the number of students taking theaerobics class.

2. Predict how many students will be inthe aerobics class in week 6 if the trendcontinues.

3. Predict how many students will be inthe aerobics class in week 8.

4. Describe the change in the number ofsit-ups Cara can do.

5. Predict how many sit-ups Cara will beable to do in week 6 if the trendcontinues.

6. Predict the week in which Cara will beable to do 80 sit-ups if the trendcontinues.

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NAME ________________________________________ DATE ______________ PERIOD _____


1. Describe the trends in the winning amounts.

2. Make a prediction as to the amount of money the winner of the 2005Daytona 500 will receive.

Reading the LessonRefer to the sentence just below the activity at the top of page 66:“Line graphs are often used to predict future events because theyshow trends over time.”

3. The word predict comes from two Latin words that mean “to tell inadvance.” Look up the word predict in a dictionary. What meaning isgiven for the word?

4. Look up the word trend in a dictionary. What meaning is given for theword as it is used in the definition of line graph?

5. Look at the line graph at the bottom of page 66. In terms of trend, what happened between 1997 and 1998? What is the difference between prediction and data or statistics?

Helping You Remember6. Find two line graphs, one where you feel you can predict the future with

confidence and one where you cannot. Explain the difference.

Reading to Learn MathematicsMaking Predictions


Graphs and Decision MakingJust as important as knowing how to make a bar graph or a line graph isdeciding what type of graph to use. Here are some guidelines to help youmake that decision.

• A bar graph compares data that fall into distinct categories.

Example Use a bar graph to show how the populations of several citiescompare in one year.

• A line graph shows changes in data over a period of time.

Example Use a line graph to show how the population of one city changedover several years.

Would you use a bar graph or a line graph to show these data?

1. average temperatures in Sacramento for each month of the year

2. average temperatures in January in five California cities

3. land area of the continents

4. number of CD players purchased each year from 1981 through 1990

5. weight of a baby in each month from birth to one year of age

6. heights of the world’s five tallest trees

Make an appropriate graph for each set of data.

7. Cars in Use 8. Seating Capacity of Aircraft

Seating Capacity of Aircraft

Model

Cars in Use

NAME ________________________________________ DATE ______________ PERIOD _____

Enrichment

Model Number of Seats

B747DC-10L-1011MD-80

405288296142

Year Number (millions)

1970198019902000

80105124136

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Make a stem-and-leaf plot of the data in the table. Then write a fewsentences that analyze the data.

Step 1 Order the data from least to greatest.41 51 52 53 55 60 65 65 67 68 70 72

Step 2 Draw a vertical line and write the tens digitsfrom least to greatest to the left of the line.

Step 3 Write the ones digits to the right of the linewith the corresponding stems.

→ � � ←

6|5 � $65

Step 4 Include a key that explains the stems and leaves.

By looking at the plot, it is easy to see that the least amount of money earned was $41 and the greatest amount was $72. You can also see that most of the data fall between $51 and $68.

Make a stem-and-leaf plot for the set of data below. Write a fewsentences that analyze the data.

34 44 51 48 55 41 47 22 55

KeyAlways write each leaf,even if it repeats.

The onesdigits of thedata formthe leaves.

In this dataset, the tensdigits formthe stems.

Sometimes it is hard to read data in a table.You can use a stem-and-leaf plot to display the data in amore readable way. In a stem-and-leaf plot, you order the data from least to greatest. Then youorganize the data by place value.

NAME ________________________________________ DATE ______________ PERIOD _____

Study Guide and InterventionStem-and-Leaf Plots

Money EarnedMowing Lawns ($)

60 55 53 4167 72 65 6865 70 52 51

Stem Leaf

4567

11 2 3 50 5 5 7 80 2


Make a stem-and-leaf plot for each set of data.

1. 18, 16, 13, 20, 33, 58, 32, 14, 61, 67, 52 2. 61, 75, 62, 63, 74, 71, 75, 82, 64, 81, 91, 65

3. $52, $49, $37, $21, $65, $23, $49, $51, 4. 82°, 91°, 80°, 55°, 63°, 54°, 83°, 90°, 84°,$22, $21, $24, $47, $44, $53, $61 91°, 59°, 62°, 50°, 92°, 85°, 92°, 92°

SPORTS For Exercises 5–8, use the stem-and-leaf plot that shows the total number of points earned by each volleyball team at atournament.

5. What was the greatest number of points earned?

4|5 � 45 points

6. What was the least number of points earned?

7. How many teams earned more than 50 points?

8. Between what numbers are most of the points earned?

NAME ________________________________________ DATE ______________ PERIOD _____

Practice: SkillsStem-and-Leaf Plots

Stem Leaf

23456

96 6 7 8 94 5 5 7 91 4 91 3 5


TRAFFIC For Exercises 1 and 2, use the table. For Exercises 3 and 4, usethe stem-and-leaf plot.

Number of Birds at a Watering Hole Each Hour

3|4 � 34 birds

Practice: Word ProblemsStem-and-Leaf Plots

NAME ________________________________________ DATE ______________ PERIOD _____

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1. Mr. Chin did a traffic survey. He wrotedown the number of trucks that passedthrough an intersection each hour.Make a stem-and-leaf plot of his data.

2. Refer to your stem-and-leaf plot fromExercise 1. Mr. Chin needs to know therange of trucks passing through theintersection in one hour into which thegreatest number of hours fall.

3. What is the least number of birds atthe watering hole in one hour? What isthe greatest number?

4. What is the most frequent number ofbirds to be at the watering hole in onehour?

5. RVs Make a stem-and-leaf plot for thenumber of RVs Mr. Chin counted in 12hours: 3, 4, 9, 13, 7, 9, 8, 5, 4, 6, 1, 11.

6. RVs Write a few sentences that analyzethe RV data for Mr. Chin’s report inExercise 5.

Stem Leaf

12345

8 94 8 93 4 4 42 5 5 5 5 7 80 0 3 3 4 6 6 7

Number of Trucks Passing Throughthe Intersection Each Hour

5 15 6 42 34 2819 18 19 22 23 2132 26 34 19 29 2110 6 8 40 14 17



1. What were the least and greatest number of points scored?

2. Which number of points occurred most often?

Reading the Lesson3. In a stem-and-leaf plot, in what order are the data?

4. In a stem-and-leaf plot of two-digit numbers, how are the datarepresented?

5. In the box below the stem-and-leaf plot on page 72, it says "Always writeeach leaf even if it repeats." Because of this rule, what do the leaves of astem-and-leaf plot tell you that you do not know from a frequency table?

6. Look at the stem-and-leaf plot at the top of page 73. What number ofbutterflies per day occurs the most often in the stem-and-leaf plot? Whatdoes that number indicate?

Helping You Remember7. Write the steps for making a stem-and-leaf plot. Show someone what a

stem-and-leaf plot is, how to read one, and how to make one.

NAME ________________________________________ DATE ______________ PERIOD _____

Reading to Learn MathematicsStem-and-Leaf Plots


A back-to-back stem-and-leaf plot is used to compare two sets of data. Inthis type of plot, the leaves for one set of data are on one side of the stems,and the leaves for the other set of data are on the other side of the stems. Twokeys to the data are needed.

ELECTIONS Use the back-to-back stem-and-leaf plot of the electoralvotes cast by each state and the District of Columbia for theDemocratic and Republican candidates for U.S. president in 2000.

2|0 � 2 votes 0|3 � 3 votes

1. What is the greatest number of electoral votes cast by a state for theDemocratic candidate? the greatest number of electoral votes cast by astate for the Republican candidate?

2. Which candidate received votes from the greater number of states?

3. Which candidate received the greater number of total votes?

4. What is the difference between the number electoral votes cast for thecandidates?

5. Write a sentence or two comparing the number of electoral votes cast forthe two candidates.


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Democrat Stem Republican

2 3 3 4 4 4 5 7 7 80 0 1 1 2 5 8

2 33

4

012345

3 3 3 3 3 4 4 4 5 5 5 6 6 7 8 8 8 8 8 9 91 1 2 3 3 41 52


The prices of twelve different jackets are shown. Find the mean.

mean �

� �41424

� or 37

The mean price of a jacket is $37.

Find the mean for the snowfall data with and without the outlier. Then tell how the outlier affects the mean of the data.

Compared to the other values, 4 inches is low. So, it is anoutlier.

mean with outlier mean without outlier

mean � mean �

� �850� or 16 � �

746� or 19

With the outlier, the mean is less than the values of most of the data. Without the outlier,the mean is close in value to the data.

Find the mean for each set of data.

1. 11, 8, 7, 12, 10, 9, 13, 26 2. 15, 10, 9, 17, 24, 27, 39, 15, 24

3. 26, 19, 29, 15, 2, 31, 56, 30 4. 108, 121, 73, 79, 56, 91

5. Find the mean for the set of data in Exercise 1 without the outlier. Thentell how the outlier affects the mean of the data.

20 � 19 � 20 � 17��4

20 � 19 � 20 � 17 � 4��5

A set of data may contain very high or very low values. These values are called outliers.

← sum of the data← number of data items

25 � 34 � 39 � … � 27��12

The mean is the most common measure of central tendency. It is an average, so it describes all of thedata in a data set.

NAME ________________________________________ DATE ______________ PERIOD _____

Study Guide and InterventionMean

Jacket Prices ($)

25 34 39 4145 52 27 2256 61 15 27

Month Snowfall (in.)

Nov.Dec.Jan.Feb.Mar.

201920174

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on

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Practice: SkillsMean


Find the mean for each set of data.

1. 6, 9, 2, 4, 3, 6, 5 2. 25, 18, 14, 27, 25, 14, 18, 25, 23

3. 13, 6, 7, 13, 6 4. 8, 2, 9, 4, 6, 8, 5

5. 13, 7, 17, 19, 7, 15, 11, 7 6. 1, 15, 9, 12, 18, 9, 5, 14, 7

7. 28, 32, 23, 43, 32, 27, 21, 34 8. 30, 16, 29, 32, 14, 21, 26

9. 42, 35, 27, 42, 38, 35, 29, 24 10. 157, 124, 157, 124, 157, 139

Identify the outlier or outliers in each set of data.

11. 12.

2|4 � 24

WEATHER Use the data in the table that shows daily temperatures.

13. Identify the outlier.

14. What is the mean of the data with theoutlier included?

15. What is the mean of the data without the outlier included?

16. How does the outlier temperature affect the mean of the data?

NAME ________________________________________ DATE ______________ PERIOD _____

Stem Leaf

2345

0 1 4 70 0 1 5 63 67

Price Tally Frequency

$10 4 4

$20 5 5

$30 3 3

$40 1 1

Day Temp. (°F)

MondayTuesdayWednesdayThursdayFriday

6970733568

Practice: Word ProblemsMean


ANIMALS For Exercises 1–3, use the table about bears.

NAME ________________________________________ DATE ______________ PERIOD _____

1. You are writing a report on bears. Youare analyzing the data on heights andweights in the table above. First lookfor outliers. Identify the outlier for theheight data. Identify the outlier for theweight data.

2. Find the mean of the bear weight datawith and without the outlier.

3. Describe how the outlier affects themean of the bear weight data.

4. WORK Carlos earned $23, $29, $25,$16, and $17 working at an ice creamshop after school. What is the meanamount he earned?

5. CARS The cost of a tank of gas at ninedifferent gas stations is shown below.What was the mean cost of a tank ofgas?

Cost of Gas: $17, $18, $22, $15, $17,$16, $25, $21, and $20

6. SCHOOL Sally received scores on mathquizzes as shown below. Find her meanscore with and without both outliers.

Quiz Scores: 84, 85, 91, 81, 52, 92, 99,91, and 45

Bear Average Height (ft) Average Weight (lb)

Alaskan BrownBlackGrizzlyPolar

8677

1,500338588850

Pre-Activity Complete the Mini Lab at the top of page 76 in your textbook.Write your answers below.

1. How many pennies are in each cup?

2. For the five quizzes, your average score was _______ points.

3. Suppose your teacher gave you another quiz and you scored 14 points.How many pennies would be in each cup?

Reading the Lesson4. Look up the word mean in a dictionary. Write the meaning that fits the

way the word is used in this lesson.

Look at the paragraph below the activity at the top of page 76 in yourtextbook. A number that helps describe all of the data in a data set isan average. An average is also referred to as a measure of centraltendency.

5. Is the mean a good measure of central tendency when there is no outlier?Give an example.

6. Is the mean a good measure of central tendency when there is an outlier?Give an example.

Helping You Remember7. Explain one problem with using the mean as a measure of central

tendency.

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Reading to Learn MathematicsMean


NAME ________________________________________ DATE ______________ PERIOD _____


Linguistic StatisticsLinguistics is the study of human speech. The activity on this page showsthe type of data collection and analysis that might be done by a linguist whois researching the structure of the English language. All questions refer to thePreamble to the U.S. Constitution, printed at the bottom of the page.

1. Which two consonants do you think appear most often in the Preamble?

2. Which vowel do you think appears most often in the Preamble? least often?

3. Complete this table by counting the occurrences of each letter.A few letters have been counted already, to help you get started.(Hint: Your total should be 268.)

4. Which two consonants actually appear most often in the Preamble?

5. Find the mean frequency for the consonants. Which two consonants occurthe closest number of times to this mean?

6. Which vowel actually appears most often in the Preamble? least often?

7. Find the mean frequency for the vowels. Which vowel occurs the closestnumber of times to this mean?

8. Which word do you think occurs most often in the Preamble? Verify your answer.

Preamble to the Constitution of the United States of AmericaWe the People of the United States, in order to form a more perfect Union, establishjustice, insure domestic tranquility, provide for the common defense, promote thegeneral welfare, and secure the blessings of liberty to ourselves and our posterity,do ordain and establish this Constitution for the United States of America.

NAME ________________________________________ DATE ______________ PERIOD _____

Enrichment

Letter Frequency Letter Frequency Letter Frequency

a j s

b k t

c l u

d 11 m v

e n 17 w

f o x

g p y

h 9 q z

i r 20

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The table shows the costs of seven different books. Find the mean,median, and mode of the data.

mean: � �1075

� or 15

To find the median, write the data in order from least to greatest.median: 11, 13, 13, 14, 16, 16, 22

To find the mode, find the number or numbers that occur most often.mode: 11, 13, 13, 14, 16, 16, 22

The mean is $15. The median is $14. There are two modes, $13 and $16.

Find the range of the data in the table.Then write a sentence describing how the data vary.

The greatest value is 63. The least value is 32. So, the range is 63° � 32° or 31°. The range is large. It tells us that the data vary greatly in value.

Find the mean, median, mode, and range of each set of data.

1. 14, 13, 14, 16, 8 2. 29, 31, 14, 21, 31, 22, 20

3. 4.

Whereas the measures of central tendency describe the average of a set of data, the range of a set ofdata describes how the data vary.

22 � 13 � 11 � 16 � 14 � 13 � 16��7

The median is the middle number of the data put in order, or the mean of the middle two numbers.The mode is the number or numbers that occur most often.

NAME ________________________________________ DATE ______________ PERIOD _____

Study Guide and InterventionMedian, Mode, and Range

Snowfall (in.)

2 6 5 43 0 1

Quiz Scores

72 60 8068 72 86

Temperature (°F)

40 32 5560 63 50

Book Costs ($)

22 13 11 1614 13 16


Find the mean, median, mode, and range for each set of data.

1. 6, 9, 2, 4, 3, 6, 5 2. 13, 6, 7, 13, 6

3. 1, 15, 9, 12, 18, 9, 5, 14, 7 4. 13, 7, 17, 19, 7, 15, 11, 7

5. 3, 9, 4, 3, 9, 4, 2, 3, 8 6. 25, 18, 14, 27, 25, 14, 18, 25, 23

7. 8, 3, 9, 4, 6, 7, 5 8. 28, 32, 23, 43, 32, 27, 21, 34

9. 157, 124, 157, 124, 157, 139 10. 42, 35, 27, 42, 38, 35, 29, 24

11. Write a sentence that describes how the data items in Exercise 5 vary.

12. Why is mode not the best choice to describe the data in Exercise 5?Explain.

MUSEUMS Use the table showing the number of visitors to the art museum each month.

13. What is the mean of the data?

14. What is the median of the data?

15. What is the mode of the data?

16. Which measure of central tendency best describes the data? Explain.

NAME ________________________________________ DATE ______________ PERIOD _____

Practice: SkillsMedian, Mode, and Range

Vistors to the ArtMuseum (thousands)

3 11 5 45 3 6 3

12 2 2 4


SCIENCE For Exercises 1–3, use Table A. For Exercises 4–6, use Table B.Table A shows the number of days it took for some seeds to germinateafter planting. Table B shows how tall the plants were after 60 days.

Table A Table B

Practice: Word ProblemsMedian, Mode, and Range

NAME ________________________________________ DATE ______________ PERIOD _____

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1. Refer to Table A. You are doing someexperiments with germinating seeds.You are preparing a report on yourfindings to a seed company. What arethe mean, median, and mode of thedata?

2. Use your answer from Exercise 1.Which measure of central tendencybest describes the data? Explain.

3. What is the range of the seedgermination data? Describe how thedata vary.

4. What are the mean, median, and modeof the plant height data?

5. Refer to your answer in Exercise 4.Which measure of central tendencybest describes the data? Explain.

6. What is the range of the plant heightdata? Describe how the data vary.

Height (in.) of Plants After 60 Days

17 19 13 17 2015 17 21 14

Number of Days for Seeds to Germinate

15 20 30 15 169 21 21 15



1. Find the mean wingspan.

2. List the data in order from least to greatest.

3. Which data are in the middle of the arranged data?

4. Compare the number that is in the middle of the data set to the mean ofthe data.

Reading the Lesson5. How are mean, median, and mode similar? How are they different?

Look at Example 3 at the bottom of page 81. Also, look at its openingstatement, "Some averages may describe a data set better than otheraverages."

6. Which averages are discussed in the example?

7. What is causing the mean to be so high?

8. What if there were two 54s? How would that affect the averages?

9. Does this example illustrate its opening statement?

Helping You Remember10. You may already know that a median strip refers to the concrete or

landscaped divider that runs down the center of many roads. How does this idea of median relate to the meaning of median in this lesson?

NAME ________________________________________ DATE ______________ PERIOD _____

Reading to Learn MathematicsMedian, Mode, and Range


Puzzling Over DataEach puzzle on this page contains an incomplete Clue: mean � 18set of data. The clues give you information about the mean, median, mode, or range of the data. Data: 12, 17, 18, 19, 19,Working from these clues, you can decide what the missing data items must be. For example, this is how you might solve the data puzzle at the right.

There are 6 items of data.The mean is 18, so the sum of the data must be 6 � 18 � 108.Add the given data: 12 � 17 � 18 � 19 � 19 � 85.Subtract from 108: 108 � 85 � 23.

So the complete set of data is: 12, 17, 18, 19, 19, 23 .

Find the missing data. (Assume that the data items are listed in orderfrom least to greatest.)

1. Clue: mode � 8 2. Clue: median � 54.5

Data: 7, 7, 8, , , 14 Data: 36, 40, 49, , 65, 84

3. Clues: mean � 27 4. Clues: median � 120mode � 30 range � 46

Data: 10, 25, 27, , 30, Data: 110, 112, , 124, 136,

5. Clues: mean � 13 6. Clues: mean � 7median � 13 median � 8.5range � 13 mode � 10

Data: , 9, 12, , 18, Data: , 4, 8, , ,

7. Clues: mean � 60 8. Clues: median � 24mode � 52 mode � 28range � 28 range � 24

Data: , 52, , , 72, 78 Data: 6, 15, , , ,


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The graphs at the right show how the cost of amovie increased overtime. Which graphappears to show that the cost increased morequickly? Explain.

Both graphs show the same data, but Graph B appears to show the cost increasing more quickly. Graph A uses ascale of 2 and Graph B uses a scale of 1.

Refer to the table. The store says the average price of an electronic pet is $12. Explain how using this average to attract customers with low prices is misleading.

Order the data from least to greatest: 12, 12, 12, 14, 15, 15, 20, 20, 21, 49.mean: $19 median: $15 mode: $12

The store used the mode as the average. Because the mode price is less than the otherprices, it is not the most accurate average to use.

1. In Example 1, how could you change Graph A to appear to show that thecost rose more slowly?

2. Oleta’s test scores in order from least to greatest were 19, 75, 76, 82, 83.Find the mean, median, and mode of the data. Which measure might bemisleading in describing the average number of points Oleta earned.

Using an inappropriate measure of central tendency can cause readers to make a wrong conclusion.

199920

0020

0120

0220

03

321

456789

10

Pric

e ($

)

Year

0

Movie TicketsGraph B

199920

0020

0120

0220

03

642

8101214161820

Pric

e ($

)

Year

0

Movie TicketsGraph A

Graphs can lead readers to the wrong conclusion about the data when the numbers on either scaleare inconsistent, the vertical or horizontal scale does not start at zero, or different scales are used.

NAME ________________________________________ DATE ______________ PERIOD _____

Study Guide and InterventionAnalyzing Graphs

Electronic Pet Prices ($)

14 15 15 20 4921 12 12 20 12

Practice: SkillsAnalyzing Graphs

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ANIMALS For Exercises 1–3, use the graph that shows the weight of bears.

1. About how many times heavier does a grizzly bear appear to be than a black bear?

2. Explain how this graph is misleading.

3. Redraw the graph so that it is not so misleading.

4. BUSINESS The graphs below show company sales. Which graph makes the sales appear to be increasing more rapidly? Explain.

BUDGETS Use the table that shows the 2003 budgets for eight national parks.

5. Find the mean, median, and mode of the data.

6. Which measure would be misleading in describing the average budget for these parks?Explain.

7. Which measure describes the data most accurately? Explain.

1998

1999

2000

2001

2002

12

8

4

16

20

24

User

s (m

illio

ns)

Year

0

Company SalesGraph B

1998

1999

2000

2001

2002

6

4

2

8

10

12

User

s (m

illio

ns)

Year

0

Company SalesGraph A

GrizzlyBear

BlackBear

Weight of BearsGraph B

GrizzlyBear

BlackBear

500

600

700

400

0

300

Wei

ght (

lb)

Weight of BearsGraph A

NAME ________________________________________ DATE ______________ PERIOD _____

National Park 2003 Budget

Park Budget ($)

AcadiaCrater LakeDenaliEvergladesMammoth CaveOlympicGreat SmokiesZion

6,000,0004,000,000

11,000,00014,000,0006,000,000

10,000,00015,000,0006,000,000


BUSINESS For Exercises 1 and 2, use Graph A. For Exercises 3 and 4,use Graphs B and C. The graphs show the number of DVDs andvideos sold by a video store.

Graph A Graph B Graph C

Jan.Fe

b.Mar. Ap

r.May

June

6

4

2

8

10

12

Num

ber S

old

(thou

sand

s)

Month

0

Sales

Jan.Fe

b.Mar. Ap

r.May

June

3

2

1

4

5

6

Num

ber S

old

(thou

sand

s)

Month

0

Sales

VideosDVDs

300

350

400

250

0

200Num

ber S

old

March Sales

NAME ________________________________________ DATE ______________ PERIOD _____

Practice: Word ProblemsAnalyzing Graphs

1. About how many times fewer DVDsthan videos appear to have been sold?

2. Explain how Graph A is misleading.

3. The graphs show the same data. Whichgraph appears to shows that thenumber of DVDs and videos soldincreased more rapidly? Explain.

4. The store owner is trying to get a loanfrom the bank and wants to show thatbusiness is good. Which graph shouldthe store owner show the bank?Explain.

5. MARKETING A store advertises that ithas the lowest average price for T-shirts in town. Find the mean,median, and mode of the prices.

T-Shirt Prices:$14, $5, $10, $12, $5, $4, $13

6. MARKETING Use your answer fromExercise 5. Which measure of centraltendency describes the average T-shirtprice the most accurately? Explain.


Pre-Activity Complete the activity at the top of page 86 in your textbook. Writeyour answer below.

1. Suppose you look at the lengths of the bars that represent Dan Marino and Terry Bradshaw. You might conclude that Dan Marino threw three times as many touchdown passes as Terry Bradshaw. Why is this conclusion incorrect?

Reading the LessonFor Exercises 2–4, look at the first sentence below the activity at thetop of page 86: “Graphs let readers analyze and interpret data easily.”

2. Look in a dictionary for meaning of the word analyze. Write a definitionthat fits the sentence just quoted.

3. Do the same for the word interpret. Write a definition that fits thesentence just quoted.

4. Why is it important to analyze as well as interpret data in a graph?

5. Why is the graph in the activity at the top of page 86 misleading?

6. On a separate sheet of paper, redraw the graph in the activity at the topof page 86 to correct the problem. Do the lengths of the Marino andBradshaw bars represent more closely the relationship betweentouchdown passes actually thrown by these players?

Helping You Remember7. Look up the word mislead in a dictionary. Write the definition here. Then

tell how it is easy for a graph to mislead.

Reading to Learn MathematicsAnalyzing Graphs

NAME ________________________________________ DATE ______________ PERIOD _____

Less

on

2–8


Be a Data Detective!Each of the graphs on this page has been drawn incorrectly.Can you detect the mistake?

1. 2.

Mistake: Mistake:

3. 4.

Mistake: Mistake:

5. Draw a corrected graph for Exercise 3. 6. Draw a corrected graph for Exercise 4.

Retail Sales of AutomobilesAreas of the Great Lakes

1994

1996

1998

2000

2002

8,990

,000

8,526

,000

8,142

,000

8,846

,000

Retail Sales of Automobiles

Number of Automobiles

Year

0

20

40

60

80

100

Supe

rior

Michiga

n

Huron Er

ie

Ontari

o

Lake

Squa

re M

iles

(thou

sand

s)

Areas of the Great Lakes

0

50

100

150

200

250

300

1800 1900 1925 1950 1975 2000(projected)

Popu

latio

n(m

illio

ns)

Year

United States Population

Fiction

Biography

Reference

Other

Weekly Book Sales

NAME ________________________________________ DATE ______________ PERIOD _____

Enrichment

TELEVISION Refer to the frequency table.

1. What is the most common age of cartoon watchers?A. 1–5 B. 6–10C. 11–15 D. 16–20 1.

2. How many people 11 years or older watched cartoons?F. 18 G. 19 H. 11 I. 29 2.

ANIMALS Refer to the bar graph.

3. Which animal has the same average lifespan as a wolf?A. rabbit B. horseC. giraffe D. monkey 3.

4. Which animal lives twice as long as a giraffe?F. rabbit G. horseH. wolf I. monkey 4.

MONEY Refer to the line graph.

5. What was Logan's balance in March?A. $100 B. $150C. $200 D. $250 5.

6. What is the best prediction for Logan's May balance? F. $200 G. $250 6.H. $300 I. $350

FOOD Refer to the circle graph.

7. Which fruit is most popular?A. apple B. peachC. banana D. orange 7.

8. Which fruit is least popular?F. apple G. peach 8.H. banana I. orange

Refer to the stem-and-leaf plot.

9. What is the greatest number shown in the plot?A. 67 B. 53C. 35 D. 1,044 9.

2|6 � 26

Favorite Fruit

Peach9%

Banana25%

Apple36%

Orange30%

Jan.Fe

b.Mar. Ap

r.May

150

100

50

200

250

300To

tal (

$)350

Month

0

Logan's Savings

MonkeyWolfHorseRabbit

15

20

10

0

5

25

Life

span

(yea

rs)

AnimalGiraffe

Average Lifespan


Chapter 2 Test, Form 1NAME ________________________________________ DATE ______________ PERIOD _____

SCORE _____

Ass

essm

ent

Cartoon WatchersAge Frequency1–5 106–10 8

11–15 416–20 7

Stem Leaf123

0 4 46 75

10. How many numbers shown are less than 20?F. 0 G. 5 H. 2 I. 3 10.

11. How many times is the number 14 shown in the plot?A. 0 B. 1 C. 2 D. 3 11.

BUTTERFLIES Refer to the table that shows Miko’s butterfly counts.

12. What is the mean of the butterfly counts?F. 10 G. 12H. 13 I. 20 12.

13. Which value is the outlier?A. 10 B. 13 C. 15 D. 52 13.

14. What is the mean without the outlier?F. 10 G. 12 H. 13 I. 20 14.

15. What is the median of the butterfly counts?A. 10 B. 12 C. 13 D. 20 15.

16. What is the mode of the butterfly counts?F. 10 G. 12 H. 13 I. 20 16.

17. What is the range of the butterfly counts?A. 10 to 60 B. 10 to 52 C. 42 D. 52 17.

ANIMALS Refer to the bar graph.

18. How many years is a horse expected to live?F. 10 G. 15H. 20 I. 30 18.

19. How many years is a monkey expected to live?A. 10 B. 15C. 18 D. 20 19.

20. Why is the graph misleading?F. The interval starts at 10, not 0. G. Not enough animals are shown. 20.H. The scale starts at 10, not 0. I. The interval is not consistent.

Bonus MONEY Sophie's savings usually increases each month. B:The only time it decreased was in March, when she withdrew some money for a new bike. On a separate sheet of paper, draw a line graph that could show her savings from January through May.

HorseMonkey

16

18

20

14

10

12

22

Age

(yea

rs)

Animal

Average Lifespan


NAME ________________________________________ DATE ______________ PERIOD _____

Chapter 2 Test, Form 1 (continued)

Day CountMon. 10Tues. 13Wed. 15Thurs. 52Fri. 10

Chapter 2 Test, Form 2A


NAME ________________________________________ DATE ______________ PERIOD _____

SCORE _____

Ass

essm

ent

NAME ________________________________________ DATE ______________ PERIOD _____

SCORE _____

SPORTS Refer to the frequency table.

1. What is the interval for the least commonnumber of hours of sports watched?A. 1–2 B. 3–4 1.C. 5–6 D. 7–8

2. How many people spent 3 or more hours watching sports events?F. 5 G. 6 H. 9 I. 14 2.

NAMES Refer to the bar graph.

3. What two names shown had about the same popularity?A. Lily and DaisyB. Daisy and HeatherC. Lily and HeatherD. Rose and Daisy 3.

4. How did the popularity of the name Lily compare with that of Rose?F. Rose was given about the same number of times as Lily.G. Rose was given about three times more often than Lily.H. Lily was given about twice as often as Rose.I. Lily was given about three times more often than Rose. 4.


5. In what month did the greatest increase in sales occur? A. January B. FebruaryC. March D. April 5.

6. What is the best prediction for June sales? F. $2,000 G. $2,250H. $2,500 I. $3,000 6.


7. What is the main ingredient?A. banana B. pineappleC. yogurt D. ice 7.

8. Which two ingredients make up more than half of a Tropical Smoothie?F. ice and banana G. banana and yogurtH. banana and orange I. yogurt and ice 8.

Tropical Smoothie

Pineapple12%

Banana30%

Ice18%

Orange15%

Yogurt25%

Jan.Fe

b.Mar. Ap

r.May

June

1,500

1,000

500

2,000

2,500

3,000

Sale

s ($

)

Month

0

Monthly Sales

DaisyLilyRose

1,500

2,000

1,000

0

500

2,500

3,000

3,500

Num

ber

NameHeather

Female Names Given in 2001

Sports WatchersHours Frequency

1–2 63–4 95–6 47–8 1

Chapter 2 Test, Form 2A (continued)


NAME ________________________________________ DATE ______________ PERIOD _____

Use the stem-and-leaf plot.


2|3 � 2310. What is the least number shown in the plot?

F. 0 G. 1 H. 10 I. 107 10.

11. How many numbers shown are less than 30?A. 0 B. 2 C. 5 D. 7 11.

12. How many times is the number 27 shown in the plot?F. 0 G. 1 H. 2 I. 3 12.

SHOPPING For Exercises 13–19, refer to the table.

13. What is the mean cost of shoes at the store?A. $29 B. $30C. $32 D. $40 13.

14. What is the mean cost without the outlier?F. $29 G. $30 H. $32 I. $40 14.

15. Which value is the outlier?A. $8 B. $32 C. $40 D. $22 15.

16. What is the median of the data?F. $29 G. $30 H. $32 I. $40 16.

17. What is the mode of the data?A. $40 B. $31 C. $22 and $40 D. $22 17.

18. What is the range of the data?F. $8 G. $1 to $40 H. $8 to $40 I. $32 18.

19. Which measure of central tendency is the most misleading?A. none B. mode C. median D. mean 19.

20. Why is the bar graph at the right misleading?F. The interval starts at 50, not 0.G. Not enough foods are shown.H. The scale starts at 50, not 0.I. The interval is not consistent. 20.

Bonus If three numbers have a mode of 4 and a mean of 5, what are the three numbers? B:

Egg2%Milk

WholeMilk

125

150

100

50

75

175

Calo

ries

Foods

Stem Leaf123

0 70 3 7 7 91 8

Shoe Costs ($)3240

2840

4022

228

Chapter 2 Test, Form 2B


NAME ________________________________________ DATE ______________ PERIOD _____

SCORE _____

Ass

essm

ent

MUSIC Refer to the frequency table.

1. What is the most common age of music store customers?A. 5–8 B. 9–12C. 13–16 D. 17–20 1.

2. How many people 12 years or younger shopped at the music store?F. 2 G. 10 H. 8 I. 49 2.

NAMES Refer to the bar graph.

3. What two names shown had about the same popularity?A. Rose and IrisB. Rosemary and IrisC. Violet and RosemaryD. Rose and Rosemary 3.

4. How did the popularity of the name Iris compare with that of Violet?F. Violet was given about the same number of times as Iris.G. Violet was given about twice as often as Iris.H. Iris was given about twice as often as Violet.I. Iris was given about three times more often than Violet. 4.


5. In what month did the greatest decrease in sales occur? A. January B. MarchC. February D. April 5.

6. What is the best prediction for June sales?F. $500 G. $1,000H. $1,250 I. $1,500 6.


7. What is the main ingredient?A. ice B. watermelonC. milk D. blackberry 7.

8. Which two ingredients make up more than half of a Summer Smoothie?F. watermelon and ice G. milk and watermelon 8.H. milk, ice, and blackberry I. blackberry and milk

Summer Smoothie

Orange12%

Watermelon30%

Ice18%

Blackberry15%

Milk25%

Jan.Fe

b.Mar. Ap

r.May

June

1,500

1,000

500

2,000

2,500

3,000

Sale

s ($

)

Month

0

Monthly Sales

VioletRoseRosemary

600

800

400

0

200

1,000

1,200

Num

ber

NameIris

Female Names Given in 2001

Music Store CustomersAge Frequency5–8 29–12 8

13–16 2817–20 21

Chapter 2 Test, Form 2B (continued)


NAME ________________________________________ DATE ______________ PERIOD _____

Use the stem-and-leaf plot.


3|2 � 3210. What is the least number shown in the plot?

F. 0 G. 2 H. 20 I. 209 10.

11. How many numbers shown are less than 40?A. 7 B. 5 C. 2 D. 0 11.

12. How many times is the number 36 shown in the plot?F. 0 G. 1 H. 2 I. 3 12.

SHOPPING For Exercises 13–19, refer to the table.

13. What is the mean cost of a dress at the store?A. $38 B. $40 C. $42 D. $50 13.

14. What is the mean cost without the outlier?F. $38 G. $40 H. $42 I. $50 14.

15. Which value is the outlier?A. $38 B. $10 C. $42 D. $50 15.

16. What is the median of the data?F. $38 G. $40 H. $42 I. $50 16.

17. What is the mode of the data?A. $32 B. $40 C. $32 and $50 D. $50 17.

18. What is the range of the data?F. $8 G. $40 H. $10 to $50 I. $52 18.

19. Which measure of central tendency is the most misleading?A. none B. median C. mode D. mean 19.

20. Why is the bar graph at the right misleading?F. The interval starts at 4, not 0.G. Not enough foods are shown.H. The scale starts at 4, not 0.I. The vertical scale is not consistent. 20.

Bonus If three numbers have a mode of 3 and a mean of 5, what are the three numbers? B:

10

12

8

4

6Fat (

gram

s)

Cheeses

CreamCheese

Swiss Mozzarella

Stem Leaf234

0 92 3 6 6 71 7

Dress Costs ($)4250

3850

5032

3210

VOTING Refer to the table that shows the number of votes cast for Mia (M), Ali (A), Ted (T), and Hattie (H) for best costume.

1. Make a frequency table for 1.the data.

2. Who won first place? 2.

3. Make a vertical bar graph of the data. 3.

4. How does the number of votes for Hattie compare to votes for Mia?

POLLS Refer to the circle graph that shows the result of an online poll. 4.

5. Which topping is most popular? 5.

6. Which two toppings are about 6.equally favored?

7. How does onion compare 7.with mushroom as a favorite pizza topping?

SHOPPING Refer to the table of book costs.

8. Identify the outlier. 8.

9. Find the mean cost of a book at the 9.store. How does the outlier affect the mean?

10. The store claims the average item costs $5. Which measure 10.of central tendency are they using to describe the data? Is their claim misleading? Explain.

Favorite Pizza ToppingOnion6%

ExtraCheese

31%

Pepperoni39%

Mushroom11%

Anchovies3%

Sausage10%

Best Costume


Chapter 2 Test, Form 2CNAME ________________________________________ DATE ______________ PERIOD _____

SCORE _____

Ass

essm

ent

Votes

M T A HT T H AA A H MA M H HA T A M

Book Costs ($)

5 5 949 11 5

SCHOOL Refer to the table of test scores.

11. Make a stem-and-leaf plot of the data. 11.

12. How many students scored 80 or more on the test? 12.

13. What is the range of the scores? 13.

14. What are the median and mode of the scores? 14.

MONEY Ella's savings account balance for January through July was $250, $80, $100, $120, $225, $250, and $275,respectively.

15. Draw a line graph of Ella's savings for the 7 months. 15.

16. Ella bought a stereo, and her savings decreased that month.In which month did she buy the stereo?

17. Predict Ella’s balance in August. Explain how you made your prediction.

CHORES Last 16.month, Simone did the dishes 17.16 times, and Dion did them 12 times.Refer to the graphs that they made for their mom.

18. Simone claims she does the dishes twice as often as her 18.brother. Which graph is Simone’s?

19. Dion claims he does the dishes nearly as often as his sister. 19.Which graph is Dion’s?

20. Explain how they made the graphs misleading. 20.

Bonus Write a set of nine numbers that has a mean and median B:of 5.

SimoneDion

12

13

14

11

9

10

15

16

Num

ber o

f Tim

es

Dishwasher

Graph B

SimoneDion

6

8

10

4

0

2

12

18

Num

ber o

f Tim

es

Dishwasher

Graph A

Ella's Savings


NAME ________________________________________ DATE ______________ PERIOD _____

Chapter 2 Test, Form 2C (continued)

Test Scores68 73 72 7981 79 91 8785 92 95 8766 87 96 90

Ass

essm

ent

NAME ________________________________________ DATE ______________ PERIOD _____

SCORE _____


Chapter 2 Test, Form 2D

VOTING Refer to the table that shows the number of votes cast for Miguel (M), Aki (A), Tansy (T), and Hannah (H) for best costume.

1. Make a frequency table for 1.the data.

2. Who won second place? 2.

3. Make a vertical bar graph of the data. 3.

4. How does the number of votes for Aki compare to votes for 4.Miguel?

POLLS Refer to the circle graph that shows the result of an online poll.

5. Which animal is most popular? 5.

6. Which two animals are about 6.equally favored?

7. How do cats compare with 7.monkeys as a favorite animal?

SHOPPING Refer to the table of book costs.

8. Identify the outlier. 8.

9. Find the mean cost of a book at the 9.store. How does the outlier affect the mean?

10. The store claims the average item costs $1. Which measure 10.of central tendency are they using to describe the data? Is their claim misleading? Explain.

Favorite Animal

Bird 7%Rabbit 6%

Cat17%

Horse16%

Cow 6%Monkey

9%

Dog39%

Best Costume

Votes

M H T A TH H A T HT T A A TT M A A H

Book Costs ($)

1 1 733 1 5


NAME ________________________________________ DATE ______________ PERIOD _____

Chapter 2 Test, Form 2D (continued)

SCHOOL Refer to the table of test scores.

11. Make a stem-and-leaf plot of the data. 11.

12. How many students scored 80 or more on the test? 12.

13. What is the range of the scores? 13.

14. What are the median and mode of the scores? 14.

MONEY Ebony's savings account balance for January 15.through July was $150, $260, $300, $160, $175, $200, and $225, respectively.

15. Draw a line graph of Ebony's savings for the 7 months.

16. Ebony bought a stereo, and her savings decreased that month. In which month did she buy the stereo?

17. Predict Ebony's balance in August. Explain how you made 16.your prediction.

VIDEOS Trent got 17.to choose the video8 times, and Kayla got to choose 12 times. Refer tothe graphs at the right that theymade for theirmom.

18. Kayla claims her brother chooses the 18.video nearly as often as she. Whichgraph is Kayla's? 19.

19. Trent claims his sister gets to choose three times more often than he does. Which graph is Trent’s?

20. Explain how they made the graphs misleading. 20.

Bonus Write a set of seven numbers that has a mean and B:median of 4.

TrentKayla

9

10

11

8

6

7

12

13

Num

ber o

f Tim

es

Who Chooses

Graph B

TrentKayla

6

8

16

4

0

2

Num

ber o

f Tim

es

Who Chooses

Graph A

Ebony's Savings

Test Scores69 95 92 8772 87 84 7882 80 68 7889 78 98 91

SPORTS Refer to the frequency table.

1. Twenty students went bowling. 1.How many students scored 100–109 points?

2. How many students scored more 2.than 109 points?

3. Did anyone score exactly 110 points? 3.

COMPUTERS Refer to the circle graph.

4. What total percent 4.of kids used a computer at home?

5. What percent of 5.kids used a computer only at school?

6. What total percent of kids did 6.not use a computer at home?

7. What total percent of kids used a computer? 7.

WEATHER Refer to the table.

8. Make a bar graph of the data. 8.

9. Find the mean of the data with and without the outlier. 9.

10. What are the mode and median of the data? 10.

11. Which measure of central tendency is most misleading? 11.

SCHOOL Refer to Luna’s test scores shown in the stem-and-leaf plot.

12. What is the range of her scores? 12.

13. Luna can pick which average the 13.teacher will use for her report card.Which one will Luna pick? Explain.

Computer Use by 10- to 13-year-olds

Does Not UseComputer 8%

School NotHome25%

School and Home60%

Home NotSchool

7%


Chapter 2 Test, Form 3NAME ________________________________________ DATE ______________ PERIOD _____

SCORE _____

Ass

essm

ent

Annual PrecipitationAlaskan City InchesBettles 14Nome 15King Salmon 20Yakutat 151Bethel 15

Stem Leaf

789

7 8 82 70

8|2 � 82

Score Frequency

90–99 2

100–109 4

110–119 10

120–129 4

INVENTIONS Refer to the line graph.

14. Which year 14.had a decrease in the number of patents granted?

15. Which year 15.had the greatest increase?

16. Make a stem and leaf plot of the data in the table. 16.

17. The new cook, hired in 17.February, claims lunches served nearly doubled after he was hired.Why is his graph misleading?

18. Redraw the graph so it 18.is not misleading.

19. Write a set of data that has a range of 30, a mode of 68, and 19.a median of 80.

20. Which measure of central tendency best describes the data 20.1, 1, 1, 2, 7, 7, and 9? Explain.

Bonus CODE BREAKING The table shows B:the frequencies of the letters used in the original message. Decode the secret message XVKKVKKVOOV.

Sept

.Oct.

Nov.Dec

.Jan

.Fe

b.Mar. Ap

r.May

June

100

150

160

Aver

age

per D

ay

Month

0

Cafeteria Lunches

'89 '91 '93 '95 '97 '99 '01

100

120

140

160

180

200Pa

tent

s (th

ousa

nds)

Year

60

80

U.S. Patents Granted Per Year


NAME ________________________________________ DATE ______________ PERIOD _____

Chapter 2 Test, Form 3 (continued)

Letter Freq.

s 4

i 4

p 2

m 1

Average Number of Lunches Cafeteria Served per Day

Sept Oct Nov Dec Jan Feb Mar Apr May June

125 120 120 110 118 155 156 156 156 159

Demonstrate your knowledge by giving a clear, concise solution toeach problem. Be sure to include all relevant drawings and justifyyour answers. You may show your solution in more than one way orinvestigate beyond the requirements of the problem. If necessary,record your answer on another piece of paper.

1. Make a frequency table of the data in the table about student grades.

2. Use your frequencytable from Question 1.

a. Make a bar graph of the data. Be sure to label all the parts of thegraph.

b. Explain how you decided on the scale and interval.

c. Describe what your graph shows.

d. How does the number of students with a grade of A compare to thenumber of students with a grade of D? with a grade of F?

e. Redo your bar graph so that it is misleading and explain why it ismisleading.

3. Use the bicycle sales data in the table.

a. Make a line graph of the data in the table aboutbicycle sales. Be sure to label all the parts of thegraph.

b. Describe the scale and interval. Explain how youdecided on them.

c. Explain what your graph shows.

d. Describe the change in bicycle sales from 1998 to 2002.

e. Predict how many bicycles will be sold in 2003. Explain how youdecided on your prediction.

f. Redo your line graph so that it is misleading and explain why it ismisleading.

4. Use the test scores at the right.a. Make a stem-and-leaf plot of the data in the table of

test scores.b. Write a sentence that analyzes the data.c. Find the mean, median, mode, and range of the data.

Show your work.d. Identify any outliers and find the mean without the outliers. Describe

how the outlier affects the mean of the data.


Chapter 2 Extended Response Assessment

NAME ________________________________________ DATE ______________ PERIOD _____

SCORE _____

Ass

essm

ent

Bicycle Sales

Year Number (thousands)

19981999200020012002

105

101520

Scores on a Test94 72 82 82 86 6676 34 98 90 78 9268 82 76 76 78 8478 88 84 94 82 80

Students’ GradesA C C B C A C B FB D A C D C D C FC C B B A B C D


Chapter 2 Vocabulary Test/ReviewNAME ________________________________________ DATE ______________ PERIOD _____

SCORE _____

Choose the correct term to complete each sentence.

1. The ________________ is the middle number, or the mean of 1.the middle two numbers, of the ordered data in a set.

2. Pieces of information that are usually numerical are called 2.________________.

3. A ________________ is a graph that is used to compare parts 3.of a whole.

4. The ________________ separates the scale into equal parts. 4.

5. Extremely high or low values in a data set are called 5.________________.

6. The ________________ is the number or numbers that occur 6.most frequently in a data set.

7. The interval separates the ________________ into equal parts. 7.

8. A ________________ is a graph used to show how data 8.changes over a period of time.

9. A ________________ displays data that is ordered from least 9.to greatest and is organized by place value.

10. Measure of central tendency is another term for 10.________________.

In your own words, define each term.

11. statistics

12. mean

average (p. 76)bar graph (p. 56)circle graph (p. 62)data (p. 50)frequency table (p. 50)graph (p. 56)horizontal axis (p. 56)interval (p. 50)

key (p. 72)leaves (p. 72)line graph (p. 56)mean (p. 76)measure of central

tendency (p. 76)median (p. 80)mode (p. 80)

outlier (p. 77)range (p. 82)scale (p. 50)statistics (p. 50)stem-and-leaf plot (p. 72)stems (p. 72)tally marks (p. 50)vertical axis (p. 56)


NAME ________________________________________ DATE ______________ PERIOD _____

SCORE _____

NAME ________________________________________ DATE ______________ PERIOD _____

SCORE _____

Ass

essm

ent

SCHOOL For Questions 1–3, refer to the data below.

1. Make a frequency table of the data. 1.

2. Make a vertical bar graph of 2.the data.

3. Compare the number of students who scored a B to the number who scored an A. 3.

4. What is the best interval for the data set 6, 10, 18, 3, 1, 5, 4.14, 25, 13, and 23: 1, 5, or 25? Explain your reasoning.

5. Refer to the line graph. Describe 5.the change in sales from April to June.

Jan.Fe

b.Mar. Ap

r.May

June

1,500

1,000

0

2,000

2,500

3,000

3,500

Sale

s ($

)

Month

Monthly Sales

Students' Math Scores

SURVEYS Refer to the circle graph that shows results from a World Almanac for Kids online poll.

1. Which subject is the most 1.popular?

2. Which two subjects combined 2.received half of the votes?

3. What percent of students 3.favored either art or science?

WEATHER Refer to the line graph.

4. Predict the temperature in 4.Denver and Austin for March.

5. How much warmer would you 5.expect it to be in Austin than in Denver during November?

Apr.

MayJu

ne July

Aug.

Sept

.Oct.

40

50

60

70

80

90

Tem

p (º

F )

Month

0

Average Monthly Temperature

Austin

Denver

Favorite Subject

Math28%

Art21%

Gym22%

Science12%

SocialStudies

12%

English5%

Chapter 2 Quiz(Lessons 2-1 and 2-2)


Math Scores

B B C C AA A B C BC B C B AB B D A B


NAME ________________________________________ DATE ______________ PERIOD _____

SCORE _____


NAME ________________________________________ DATE ______________ PERIOD _____

SCORE _____

1. SCHOOL Make a stem-and-leaf plot for the following test 1.scores: 78, 93, 84, 66, 82, 83, 82, 73, 98, 76, 67, 83, 90, 91, 79,and 76.

SHOPPING Refer to the stem-and-leaf plot that shows the costs of bikes at one store.

2. What is the cost of the most expensive bike at the store? 2.

3. How many bikes are less 3.than $140 at the store?

BOOKS Refer to the table of book costs.

4. What is the mean book cost? 4.

5. What is the mean cost without the outlier? 5.


1. MULTIPLE-CHOICE TEST ITEM What are the mean, median, and 1.mode of the temperature data 62°, 60°, 70°, 78°, 60°, 66°,respectively?A. 65°, 62°, 60° B. 65°, 64°, 60°C. 66°, 64°, 60° D. 66°, 62°, 60°

2. REAL ESTATE A real estate company shows that their median 2.house listing is $150,000. Is it possible for them to have a house listed for $1 million? Explain.

3. REAL ESTATE The company shows that their median listing is 3.$150,000. If the range of their listings is $50,000, is it possible for them to have a house listed for $200,000? Explain.

4. Is the median, mode, or mean the most misleading average 4.of 4, 92, 96, and 96? Explain.

5. WEATHER Why is the graph misleading? 5.The bar height for Phoenix should not be more than three times the bar height for Portland.

Phoenix,AZ

Portland,OR

100

110

90

70

80Tem

p. (º

F )

Average HighTemperature in July

Stem Leaf121314

0 2 5 55 95 5 9

13|5 � $135

Book Costs ($)

10 13 79 11 34

Write the letter for the correct answer in the blank at the right of each question.

1. Choose the scale that is most appropriate for the data set 2, 18, 9, 7, 13, 22,4, and 11.A. 0 to 50 B. 0 to 30 C. 0 to 20 D. 0 to 10 1.

2. Choose the interval that is best for the data set 212, 180, 90, 17, 413, 522, 64,344, 150, and 110.F. 1 G. 10 H. 100 I. 500 2.


3. What sandwich is the most popular?A. tuna B. peanut butterC. bologna D. cheese 3.

4. Which two sandwiches are equal in popularity?F. tuna and bologna G. cheese and tunaH. cheese and bologna I. tuna and peanut butter 4.

COLLEGE Refer to the table.

5. Make a line graph 5.of the data.

6. Describe the pattern or trend in the college costs from 1970 6.to 2000.

POPULATION Refer to the bar graph at the right.

7. What two states have about 7.the same wild horse population?

8. How does Wyoming's wild 8.horse population compare with California's?

Orego

n

Wyo

ming

Califo

rnia

3,000

4,000

2,000

0

1,000

5,000

6,000

7,000

8,000

Hors

es

State

Utah

Wild Horse Population

Tuitions and Fees at 4-year U.S. Colleges and Institutions

Favorite Sandwich

Bologna21%

GrilledCheese

21%

Tuna25% Peanut

Butter33%


Chapter 2 Mid-Chapter Test(Lessons 2-1 through 2-4)

NAME ________________________________________ DATE ______________ PERIOD _____

SCORE _____

Ass

essm

ent

Tuition and Fees at 4-year U.S. Colleges and Institutions

Year Amount ($)1970198019902000

427840

2,1593,349

1. Is 55 prime, composite, or neither? (Lesson 1-3) 1.

2. Write 5 � 5 � 5 using an exponent. Then find the value of the 2.power. (Lesson 1-4)

Find the value of each expression. (Lesson 1-5) 3.

3. 15 � (6 � 3) � 4 4. 32 � 4 � 4 � 3 4.

MOVIES Use the frequency table that shows the ages of children at a movie.

5. How many children at the movie 5.were 10 years or older? (Lesson 2-2)

6. Make a bar graph for the data. 6.(Lesson 2-2)

7. Name one way to make your bar graph misleading. 7.(Lesson 2-8)

SCHOOL Use Lin’s first six test scores of 58, 58, 63, 69, 74,and 80.

8. Make a line graph for the data. (Lesson 2-2) 8.

9. What is a good prediction for Lin’s seventh test score? 9.(Lesson 2-4)

10. Find the mean test score. (Lesson 2-6) 10.

11. Find the mode, median, and range of the test scores. 11.(Lesson 2-7)

12. Which measure of central tendency is most misleading for 12.the test scores? Why? (Lesson 2-8)

Lin's Test Scores

Children at the Movie


NAME ________________________________________ DATE ______________ PERIOD _____

Chapter 2 Cumulative Review(Chapters 1–2)

Age Frequency8–9

10–1112–13

5106

1. Evaluate 3 � 1 � 7 � 9. (Lesson 1-5)

A. 192 B. 216 C. 90 D. 66 1.

2. Evaluate 2r if r � 37. (Lesson 1-6)

F. 64 G. 74 H. 39 I. 35 2.

3. What is the area of a rectangle that is 12 inches wide and 13 inches long? (Lesson 1-8)

A. 157 in2 B. 25 in2 C. 156 in2 D. 50 in2 3.

4. Use the frequency table. If twenty-five students took the test, how many scored 61–70 points? (Lesson 2-1)

F. 0 G. 4H. 2 I. 1 4.

5. What are the stems in a stem-and-leaf plot for the data 5, 10, 14, 26, and 34?(Lesson 2-5)

A. 0, 4, 5, 5, 6 B. 0, 1, 2, 3 C. 1, 2, 3 D. 0, 4, 5, 6 5.

6. Sasha is buying a new stereo. The range in prices for the stereos she likes is $170. If the most expensive one she likes is $310, how much is the least expensive? (Lesson 2-7)

F. $160 G. $140 H. $480 I. $240 6.

7. What is the missing value in the circle graph corresponding to the percent of people who favor plums? (Lesson 2-3)

A. 10% B. 20%C. 22% D. 12% 7.

8. Which data set has a mode of 4?(Lesson 2-7)

F. {1, 2, 3, 4} G. {3, 4, 6}H. {4, 4, 5, 5, 5} I. {4, 4, 5} 8.

9. At a small video store, a clerk counts the number of tapes rented each hour. The first seven hours the store rents 6, 3, 7, 6, 8, 51, and 10 tapes. Which measure of central tendency is most misleading for the data? (Lesson 2-8)

A. mode B. median C. mean D. scale 9. DCBA

IHGF

DCBA

Favorite Fruit

orange38%

plum

banana20%

apple30%

IHGF

DCBA

IHGF

DCBA

IHGF

DCBA


Standardized Test Practice(Chapters 1–2)

NAME ________________________________________ DATE ______________ PERIOD _____

SCORE _____

Ass

essm

ent

Part 1: Multiple Choice

Instructions: Fill in the appropriate oval for the best answer.

Score Frequency

61–70 ?

71–80 4

81–90 12

91–100 8

10. Tim practiced playing the oboe for 10.9 minutes on Monday, 13 minutes on Tuesday, and 17 minutes on Wednesday. If he continues to practice in the same pattern, how many minutes will he practice on Thursday?(Lesson 1-1)

11. Write 83 as a product. Then find the 11.value of the power. (Lesson 1-4)

12. The bar graph shows how 12. 13.much each grade raised in the recycling drive.Which grade raised abouttwice as much money as the7th graders?(Lesson 2-2)

13. A store stocks four brands of jeans that cost $18, $20,$24, and $34. What is themean cost of jeans at thestore? (Lesson 2-6)

14. The line graph at the right shows the height of Jack’s tree at the end of each month.

a. How tall was tree at the end of the third month?(Lesson 2-2)

b. When was the tree about 18 centimeters tall?(Lesson 2-2)

c. One month, Jack trimmed his tree back slightly.Which month was this? (Lesson 2-2)

d. Predict when the tree will reach a height of 26 centimeters. Explain how you made your prediction. (Lesson 2-4)

15

10

5

20

25

30

Heig

ht (c

m)

Month

0

Tree Growth

1 2 3 4 5 6 7 8

Part 3: Extended Response

Instructions: Write your answers below or to the right of the questions.

0 0 0 0 01 1 1 1 12 2 2 2 23 3 3 3 34 4 4 4 45 5 5 5 56 6 6 6 67 7 7 7 78 8 8 8 89 9 9 9 9

0 0 0 0 01 1 1 1 12 2 2 2 23 3 3 3 34 4 4 4 45 5 5 5 56 6 6 6 67 7 7 7 78 8 8 8 89 9 9 9 9

8th7th6th

150

200

100

0

50

250

300

350

400

Dolla

rs

Recycling Drive

Grade

0 0 0 0 01 1 1 1 12 2 2 2 23 3 3 3 34 4 4 4 45 5 5 5 56 6 6 6 67 7 7 7 78 8 8 8 89 9 9 9 9

Part 2: Short Response/Grid In

Instructions: Enter your grid in answers by writing each digit of the answer in acolumn box and then shading in the appropriate circle that corresponds to that entry.Write answers to short answer questions in the space provided.


NAME ________________________________________ DATE ______________ PERIOD _____

Standardized Test Practice (continued)

Ass

essm

ent

NAME ________________________________________ DATE ______________ PERIOD _____

SCORE _____

1. SWIMMING Charmaine swam 2 laps on Monday, 3 laps on 1.Tuesday, 5 laps on Wednesday, and 8 laps on Thursday. If the pattern continues, how many laps will she swim on Friday?

2. Which of these numbers is 796 divisible by? 2, 3, 4, 5, 6, 9, 10 2.Now classify 796 as even or odd.

Tell whether each number is prime, composite, or neither. 3.

3. 19 4. 28 4.

Find the prime factorization of each number. 5.

5. 63 6. 36 6.

Write each product using an exponent. Then find the value of the power. 7.

7. 6 � 6 8. 1 � 1 � 1 � 1 � 1 8.

Find the value of each expression. 9.

9. 8 � 6 � 2 10. 10 � 2 � (42 � 6) 10.

Evaluate each expression if a � 7 and b � 2. 11.

11. b � 3 12. a2 � 4b 12.

For Questions 13 and 14, solve each equation mentally. 13.

13. m � 3 � 19 14. 11 � 25 � h 14.

15. AREA A textbook cover measures 18 centimeters by 15.24 centimeters. What is the area of the cover of the textbook?

SCHOOL Refer to the table.

16. Make a frequency table for the data. 16.

17. Which score is most common? 17.

18. Make a vertical bar graph of the data. 18.Math Scores


Unit 1 Test(Chapters 1–2)

Math Scores

A B A BC B B AB A A AB C B BC A B B

19. Compare the number of students that scored a B to the 19.number that scored a C.

20. Name one way to make your bar graph misleading. 20.

MONEY Eva’s savings account balance was $200, $120, $135,$160, and $180 for April through August, respectively.

21. Draw a line graph of Eva’s savings for the 5 months. 21.

22. In which month did Eva’s savings decrease as compared to 22.the savings in the month before?

23. Predict Eva’s balance in October. 23.

POLLS Refer to the circle graph.

24. How do most students get to 24.school?

25. Compare the number of 25.students that ride the bus to the number that ride with a parent.

READING Refer to the table.

26. What is the mean of the 26.data?

27. Which value is the outlier? 27.

28. What is the mean without the outlier? 28.

29. What is the median number of books read? 29.

30. What is the mode of the data? 30.

31. What is the range of the data? 31.

32. Does the mean, mode, or median best describe the average 32.number of books read? Explain.

How Do You Get to School?

Other6%

Ride withParent51%

Walk15%

Bike3%

Ride theBus25%

Ella's Savings


NAME ________________________________________ DATE ______________ PERIOD _____

Unit 1 Test (continued)

(Chapters 1–2)

Books Read in a Month

4 25 2 63 2 7

An

swer

s

© Glencoe/McGraw-Hill A1 Mathematics: Applications and Concepts, Course 1

Standardized Test PracticeStudent Recording Sheet (Use with pages 94–95 of the Student Edition.)

NAME ________________________________________ DATE ______________ PERIOD _____

SCORE _____

Part 1:

Solve the problem and write your answer in the blank.

For grid in questions, also enter your answer by writing each number or symbolin a box. Then fill in the corresponding circle for that number or symbol.

7. 12.

8.

9.

10.

11.

12. (grid in)

13.

0 0 0 0 01 1 1 1 12 2 2 2 23 3 3 3 34 4 4 4 45 5 5 5 56 6 6 6 67 7 7 7 78 8 8 8 89 9 9 9 9

Select the best answer from the choices given and fill in the corresponding oval.

Multiple Choice

1.

2.

3.

4.

5.

6. IHGF

DCBA

IHGF

DCBA

IHGF

DCBA

Part 2: Short Response/Grid in

Record your answers for Questions 14 and 15 on the back of this paper.

Part 3: Extended Response


General Scoring Guidelines• If a student gives only a correct numerical answer to a problem but does not show how he or she

arrived at the answer, the student will be awarded only 1 credit. All extended response questionsrequire the student to show work.

• A fully correct answer for a multiple-part question requires correct responses for all parts of thequestion. For example, if a question has three parts, the correct response to one or two parts of thequestion that required work to be shown is not considered a fully correct response.

• Students who use trial and error to solve a problem must show their method. Merely showing thatthe answer checks or is correct is not considered a complete response for full credit.

Exercise 14 Rubric

Standardized Test PracticeRubrics (Use to score the Extended Response questions on page 95 of the Student Edition.)

Score Specific Criteria4 A prediction of about 11.3 s is given. An explanation of how the prediction was made

is accurate and complete.

3 The prediction is correct. However, the explanation is correct but not complete.

2 The explanation is correct, but the prediction is not as accurate as possible.

1 The prediction is correct, but the explanation is incorrect or not given.

0 Response is completely incorrect.

Score Specific Criteria4 An explanation of how the heights are misrepresented is accurate and complete. An

explanation of how to change the graph to make it less misleading is accurate andcomplete.

3 Both explanations are correct, but one explanation is not complete.

2 Both explanations are correct, but neither is complete.

1 Only one explanation is correct.

0 Response is completely incorrect.

Exercise 15 Rubric


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in a

t 51

an

d en

d at

140

?b

ecau

se a

llth

e d

ata

mu

st b

e in

clu

ded

an

d b

ecau

se t

he

gro

up

ing

s o

f d

ata

(th

ein

terv

als)

mu

st b

e eq

ual

(in

th

is c

ase,

30 n

um

ber

s in

eac

h g

rou

p)

8.H

ow d

oes

an i

nte

rval

mak

e it

eas

ier

to r

ead

the

tabl

e?S

amp

le a

nsw

er:

An

inte

rval

gro

up

s th

e d

ata

in t

he

dat

a se

t in

to s

ub

sets

,so

th

at y

ou

can

anal

yze

the

dat

a q

uic

kly.

Hel

pin

g Y

ou

Rem

emb

er9.

Wri

te t

he

thre

e st

eps

use

d to

mak

e a

freq

uen

cy t

able

.Th

en,u

sin

g an

yda

ta s

et y

ou w

ant,

mak

e a

freq

uen

cy t

able

for

th

ose

nu

mbe

rs.

1) C

ho

ose

an

ap

pro

pri

ate

scal

e an

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or

the

dat

a.2)

Dra

w a

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le w

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th

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th

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lum

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3) In

th

e fi

rst

colu

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t th

e in

terv

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In t

he

seco

nd

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ly t

he

dat

a.In

th

e th

ird

co

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dd

th

e ta

llies

;F

or

the

sam

ple

fre

qu

ency

tab

le,s

ee s

tud

ents

’wo

rk.

NA

ME

____

____

____

____

____

____

____

____

____

____

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E _

____

____

____

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le A

Tab

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Fre

qu

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Tab

les

NA

ME

____

____

____

____

____

____

____

____

____

____

DAT

E _

____

____

____

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ER

IOD

__

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Lesson 2–1

Inse

cts

Un

der

a R

ock

ES

BE

EB

SE

EB

SE

SS

BE

ES

BE

EE

BE

SE

BS

EE

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EE

SE

Wei

ghts

(lb

) of

Dog

s at

th

e V

et C

lin

ic

Wei

ght

Tal

lyF

req

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cy

1–10

554

14

11–2

05554

19

21–3

055555

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31–4

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10

41–5

05

5

1.M

aria

is

cou

nti

ng

thre

e ty

pes

of i

nse

cts

she

fin

ds u

nde

r ro

cks

in t

he

park

for

an

ecol

ogy

surv

ey.M

ake

a fr

equ

ency

tab

lesh

owin

g h

er d

ata

from

Tab

le A

.S

amp

le a

nsw

er:

2.H

ow m

any

mor

e ea

rwig

s di

d M

aria

fin

d th

an b

eetl

es?

10 e

arw

igs

3.W

hen

Mar

ia w

rite

s h

er r

epor

t,sh

e w

ill

list

th

e in

sect

s in

ord

er o

f m

ost

com

mon

to

leas

t co

mm

on.W

hat

ord

ersh

ould

sh

e w

rite

in

her

rep

ort?

earw

ig,s

ow

bu

g,b

eetl

e

4.T

he

stre

ngt

h o

f m

edic

ine

give

n t

o a

dog

depe

nds

on

th

e do

g’s

wei

ght.

Th

ere

is a

diff

eren

t st

ren

gth

for

eac

h w

eigh

tgr

oup.

For

wh

ich

wei

ght

grou

p sh

ould

ave

teri

nar

ian

ord

er t

he

mos

t m

edic

ine?

the

leas

t m

edic

ine?

21–3

0 lb

;41

–50

lb

5.D

escr

ibe

the

scal

e an

d th

e in

terv

al i

nT

able

B.

Th

e sc

ale

is 1

to

50,

and

the

inte

rval

is 1

0.

6.H

ow m

any

mor

e do

gs a

re i

n t

he

mos

tfr

equ

ent

grou

p th

an i

n t

he

seco

nd

mos

tfr

equ

ent

grou

p?6

do

gs

Inse

cts

Un

der

a R

ock

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llyF

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uen

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Mak

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the

dat

a.C

omp

are

the

nu

mb

er o

f st

ud

ents

in

jaz

z cl

ass

wit

h t

he

nu

mb

er i

n b

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t cl

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Ste

p 1

Dec

ide

on t

he

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e an

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p 2

Lab

el t

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hor

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and

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ical

axe

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bar

s fo

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.S

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th

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any

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e ja

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e a

lin

e gr

aph

of

the

dat

a.T

hen

d

escr

ibe

the

chan

ge i

n G

wen

’s a

llow

ance

fr

om 1

998

to 2

002.

Ste

p 1

Dec

ide

on t

he

scal

e an

d in

terv

al.

Ste

p 2

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el t

he

hor

izon

tal

and

vert

ical

axe

s.S

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3D

raw

an

d co

nn

ect

the

poin

ts f

or e

ach

yea

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abel

th

e gr

aph

wit

h a

tit

le.

Gw

en’s

all

owan

ce d

id n

ot c

han

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rom

199

8 to

199

9 an

d th

en i

ncr

ease

d fr

om 1

999

to 2

002.

Mak

e th

e gr

aph

lis

ted

for

eac

h s

et o

f d

ata.

1.ba

r gr

aph

See

stu

den

ts’w

ork

.2.

lin

e gr

aph

See

stu

den

ts’w

ork

.

1997 1998 1999 2000

2001 2002

101214161820222426

Amount ($)

Year

0

Gwen

's A

llow

ance

Jazz

Tap

Bal

let

68 4 021012 Students

Styl

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ce C

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Att

enda

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A g

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a v

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disp

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com

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dat

a.A

lin

e g

rap

his

use

d to

sho

w h

ow d

ata

chan

ges

over

a p

erio

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e.

NA

ME

____

____

____

____

____

____

____

____

____

____

DAT

E _

____

____

____

_P

ER

IOD

__

___

Stud

y Gu

ide

and

Inte

rven

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Bar

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Mat

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ns a

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once

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rse

1

His

tog

ram

sO

ften

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is

use

d to

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ture

th

e da

ta i

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fr

equ

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hen

fre

quen

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are

pic

ture

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a b

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e gr

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call

ed a

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togr

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exa

mpl

e,at

th

e ri

ght

is a

his

togr

am t

hat

pict

ure

s th

e fr

equ

enci

es o

f th

e sc

ores

on

a m

ath

test

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h b

ar i

n a

his

togr

am s

how

s th

e n

um

ber

of p

iece

s of

dat

a in

a c

erta

in i

nte

rval

.

Use

th

e h

isto

gram

at

the

righ

t to

an

swer

ea

ch q

ues

tion

.

1.H

ow m

any

scor

es a

re i

n t

he

inte

rval

81–

90?

5

2.In

wh

ich

in

terv

al(s

) ar

e th

ere

exac

tly

thre

esc

ores

?41

–50

and

91–

100

3.H

ow m

any

scor

es a

re 7

0 or

les

s?9

4.S

upp

ose

that

,to

pass

th

is t

est,

a st

ude

nt

nee

ded

a sc

ore

of 6

1 or

hig

her

.How

man

y st

ude

nts

pas

sed

the

test

?20

5.C

an y

ou t

ell

in w

hic

h i

nte

rval

th

ere

is t

he

grea

test

nu

mbe

r of

sc

ores

? E

xpla

in.

Yes;

the

bar

fo

r th

e in

terv

al 7

1–80

isth

e h

igh

est.

6.C

an y

ou t

ell

wh

at w

as t

he

hig

hes

t sc

ore

on t

he

test

? E

xpla

in.

No

;yo

u o

nly

kn

ow

it w

asso

mew

her

e b

etw

een

91

and

100

.

7.U

se t

he

his

togr

am a

t th

e ri

ght.

In t

he

spac

e be

low

,wri

te t

wo

ques

tion

s ab

out

the

data

in

th

e h

isto

gram

.Th

en a

nsw

er e

ach

qu

esti

on.

See

stu

den

ts’w

ork

.

Puls

e Ra

tes

of S

tude

nts

in a

Bio

logy

Cla

ss

0123456789

66–7

0

71–7

5

76–8

0

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0

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5

91–9

5

Frequency

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10

Scor

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012345678910

41–5

051

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61–7

0

71–8

081

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91–1

00

Frequency

Scor

e

Enric

hmen

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AM

E__

____

____

____

____

____

____

____

____

____

__D

ATE

___

____

____

___

PE

RIO

D

____

_

Lesson 2–1

Answers (Lessons 2-1 and 2-2)

An

swer

s


©G

lenc

oe/M

cGra

w-H

ill68

Mat

hem

atic

s:A

pplic

atio

ns a

nd C

once

pts,

Cou

rse

1

TREE

SF

or E

xerc

ises

1,3

,an

d 4

,use

Tab

le A

.For

Exe

rcis

es 2

,5,a

nd

6,u

se T

able

B.

Tab

le A

Tab

le B

NA

ME

____

____

____

____

____

____

____

____

____

____

DAT

E _

____

____

____

_P

ER

IOD

__

___

Prac

tice:

Wor

d Pr

oble

ms

Bar

Gra

ph

s an

d L

ine

Gra

ph

s

Ave

rage

Hei

ghts

of

Pin

e T

rees

Tre

eH

eigh

t (f

t)

Eas

tern

Wh

ite

Lod

gepo

leL

ongl

eaf

Pit

chP

onde

rosa

75 48 110 55 140

Lem

ons

Pro

du

ced

by

My

Tre

e

Yea

rN

um

ber

of

Lem

ons

1999

2000

2001

2002

2003

26 124

122 78 55

1.Yo

u a

nd

Jorg

e ar

e w

riti

ng

a re

port

on

diff

eren

t ki

nds

of

pin

e tr

ees.

Mak

e a

bar

grap

h f

or t

he

repo

rt t

hat

sh

ows

the

aver

age

hei

ghts

of

diff

eren

t ki

nds

of

pin

e tr

ees.

Use

th

e da

ta f

rom

Tab

le A

.S

amp

le

answ

er:

Pond

eros

a

Long

leaf

Lodg

epole

Easte

rn W

hite

100 5075125

150 025

Height (ft)

Tree

Pitch

Aver

age

Hei

ghts

of P

ine

Tree

s

2.T

able

B s

how

s th

e n

um

ber

of l

emon

syo

ur

tree

pro

duce

d ea

ch y

ear.

Mak

e a

lin

e gr

aph

for

th

e da

ta i

n T

able

B.

Sam

ple

an

swer

:

1999

2000

2001

2002

2003

2004

75 50 25100

125

Number of Lemons

Year

0

Lem

ons

Prod

uced

by M

y Tr

ee

3.U

se y

our

grap

h f

or E

xerc

ise

1.W

hic

htr

ee i

s ab

out

hal

f as

tal

l as

apo

nde

rosa

?E

aste

rn W

hit

e P

ine

4.H

ow d

oes

the

aver

age

hei

ght

of a

pit

chpi

ne

com

pare

to

the

aver

age

hei

ght

of a

lodg

epol

e pi

ne?

A P

itch

Pin

e is

slig

htl

y ta

ller

than

a L

od

gep

ole

Pin

e.

5.U

se t

he

lin

e gr

aph

you

mad

e in

Exe

rcis

e 2.

Des

crib

e th

e ch

ange

in

fru

itpr

odu

ctio

n f

or y

our

lem

on t

ree.

Sam

ple

an

swer

:Th

e n

um

ber

of

fru

it in

crea

sed

sh

arp

ly in

200

0,st

ayed

ab

ou

t th

e sa

me

in 2

001,

shar

ply

dec

reas

ed in

200

2,an

dd

ecre

ased

a li

ttle

in 2

003.

6.FR

UIT

Su

ppos

e yo

u w

ant

to m

ake

agr

aph

of

the

tota

l n

um

ber

of l

emon

spr

odu

ced

by y

our

lem

on t

ree

and

the

tota

l n

um

ber

of o

ran

ges

prod

uce

d by

you

r or

ange

tre

e in

on

e ye

ar.W

ould

you

mak

e a

bar

grap

h o

r a

lin

e gr

aph

?E

xpla

in.

Sam

ple

an

swer

:B

arg

rap

h;

bec

ause

yo

u w

ou

ld b

eco

mp

arin

g t

wo

dif

fere

nt

fru

its.

A li

ne

gra

ph

is u

sed

to

sh

ow

chan

ges

ove

r ti

me.

©G

lenc

oe/M

cGra

w-H

ill67

Mat

hem

atic

s:A

pplic

atio

ns a

nd C

once

pts,

Cou

rse

1

Mak

e a

bar

gra

ph

for

eac

h s

et o

f d

ata.

1.2.

See

stu

den

ts’w

ork

.S

ee s

tud

ents

’wo

rk.

Use

th

e b

ar g

rap

h m

ade

in E

xerc

ise

1.

3.W

hic

h c

oun

try

mad

e th

e gr

eate

st n

um

ber

of c

ars?

Jap

an

4.H

ow d

oes

the

nu

mbe

r of

car

s m

ade

in J

apan

com

pare

to

the

nu

mbe

rm

ade

in S

pain

?F

ou

r ti

mes

as

man

y ca

rs w

ere

mad

e in

Jap

anas

in S

pai

n.

For

Exe

rcis

es 5

an

d 6

,mak

e a

lin

e gr

aph

for

eac

h s

et o

f d

ata.

5.6.

See

stu

den

ts’w

ork

.S

ee s

tud

ents

’wo

rk.

7.PO

PULA

TIO

NR

efer

to

the

grap

h m

ade

in E

xerc

ise

5.D

escr

ibe

the

chan

gein

Yu

ba C

oun

ty’s

pop

ula

tion

fro

m 1

990

to 2

000.

Sam

ple

an

swer

:Th

ep

op

ula

tio

n in

crea

sed

fro

m 1

990

to 1

994

and

th

en d

ecre

ased

fro

m 1

994

to 1

998.

It s

taye

d t

he

sam

e fr

om

199

8 to

200

0.

8.W

EATH

ERR

efer

to

the

grap

h m

ade

in E

xerc

ise

6.D

escr

ibe

the

chan

ge i

n

the

amou

nt

of r

ain

fall

fro

m J

anu

ary

to J

un

e.S

amp

le a

nsw

er:T

he

rain

fall

stay

ed t

he

sam

e fr

om

Jan

uar

y to

Ap

ril.

It in

crea

sed

shar

ply

fro

m A

pri

l to

May

.Th

en r

ain

fall

incr

ease

d s

om

e m

ore

fro

m M

ay t

o J

un

e.

Prac

tice:

Ski

llsB

ar G

rap

hs

and

Lin

e G

rap

hs

NA

ME

____

____

____

____

____

____

____

____

____

____

DAT

E _

____

____

____

_P

ER

IOD

__

___

Lesson 2–2

Eve

rgla

des

Nat

ion

al P

ark

Mon

thR

ain

fall

(in

ches

)

Jan

uar

yF

ebru

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ba

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nty

,Cal

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nia

Yea

rP

opu

lati

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thou

san

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1990

1992

1994

1996

1998

2000

59 61 62 61 60 60

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1

Lin

e Pl

ots

In a

lin

e p

lot,

data

are

pic

ture

d on

a n

um

ber

lin

e.A

n✕

is u

sed

to r

epre

sen

tea

ch i

tem

of

data

.For

exa

mpl

e,th

e fi

gure

bel

ow i

s a

lin

e pl

ot t

hat

pic

ture

sda

ta a

bou

t th

e n

um

ber

of C

Ds

own

ed b

y th

e st

ude

nts

in

a m

ath

cla

ss.

Use

th

e li

ne

plo

t ab

ove

to a

nsw

er e

ach

qu

esti

on.

1.H

ow m

any

stu

den

ts o

wn

exa

ctly

eig

hte

en C

Ds?

2

2.W

hat

nu

mbe

r of

CD

s is

ow

ned

by

exac

tly

thre

e st

ude

nts

?11

3.A

dat

a it

em t

hat

is

far

apar

t fr

om t

he

rest

of

the

data

is

call

ed a

n o

utl

ier.

Is t

her

e an

ou

tlie

r am

ong

thes

e da

ta?

Wh

at i

s it

?ye

s;34

4.W

hat

wou

ld y

ou s

ay i

s th

e n

um

ber

of C

Ds

own

ed b

y th

e “t

ypic

al”

stu

den

tin

th

is c

lass

?S

amp

le a

nsw

er:

7–13

tap

es

5.U

se t

he

data

in

th

e ta

ble

to c

ompl

ete

the

lin

e pl

ot b

elow

.Fou

r da

ta p

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1

Pre-

Act

ivit

yC

om

ple

te t

he

acti

vity

at

the

top

of

pag

e 56

in y

ou

r te

xtb

oo

k.W

rite

you

r an

swer

s b

elo

w.

1.W

hat

typ

e of

rol

ler

coas

ter

is m

ost

com

mon

?st

eel

2.W

hat

mig

ht

be a

n a

dvan

tage

of

orga

niz

ing

data

in

a t

able

? A

re t

her

e an

y di

sadv

anta

ges

of o

rgan

izin

g da

ta i

n t

his

way

?S

amp

le a

nsw

er:

An

ad

van

tag

e o

fo

rgan

izin

g d

ata

in a

tab

le is

th

at y

ou

can

fin

d e

xact

val

ues

fo

r ea

ch t

ype

of

coas

ter.

A d

isad

van

tag

e m

ay b

e th

at a

tab

le is

no

t as

vis

ual

as

a g

rap

h.

Rea

din

g t

he

Less

on

Com

par

e th

e fr

equ

ency

tab

le a

t th

e to

p o

f p

age

56 w

ith

th

e b

ar g

rap

hin

th

e m

idd

le o

f th

e sa

me

pag

e.

3.H

ow a

re t

hey

sim

ilar

?S

amp

le a

nsw

er:

Bo

th r

epre

sen

t th

e fr

equ

ency

o

f si

x ty

pes

of

rolle

r co

aste

rs f

ou

nd

in t

he

Un

ited

Sta

tes.

4.H

ow a

re t

hey

dif

fere

nt?

Sam

ple

an

swer

:Th

e fr

equ

ency

tab

le u

ses

nu

mb

ers.

Th

e b

ar g

rap

h t

ran

slat

es t

he

nu

mb

ers

into

bar

s o

f va

ryin

gh

eig

hts

.5.

For

pu

rpos

es o

f co

mpa

riso

n,w

hic

h d

o yo

u f

ind

easi

er t

o u

se t

o co

mpa

re

diff

eren

ces

amon

g fr

equ

enci

es—

the

freq

uen

cy t

able

or

the

bar

grap

h?

Exp

lain

.S

amp

le a

nsw

er:T

he

bar

gra

ph

;it

is e

asie

r to

see

at

a g

lan

ceth

at t

he

freq

uen

cy o

f th

e st

eel r

olle

r co

aste

r is

far

gre

ater

th

an t

he

freq

uen

cy o

f an

y o

f th

e o

ther

typ

es o

f ro

ller

coas

ter

in t

he

dat

a se

t.

Ref

er t

o th

e li

ne

grap

h a

t th

e b

otto

m o

f p

age

56.

6.R

epre

sen

t th

e sa

me

data

in

a t

able

th

at u

ses

only

nu

mbe

rs.

Sam

ple

an

swer

:

7.C

ompa

re t

he

tabl

e yo

u ju

st c

reat

ed w

ith

th

e li

ne

grap

h.W

hic

h d

o yo

u t

hin

k pr

esen

ts t

he

data

in

a w

ay t

hat

is

easi

er t

o co

mpa

re c

han

ges

over

per

iods

of

tim

e? E

xpla

in.

Sam

ple

answ

er:T

he

line

gra

ph

;it

is e

asie

r to

see

at a

gla

nce

ho

w t

he

freq

uen

cy o

fw

oo

den

ro

ller

coas

ters

ch

ang

ed o

ver

inte

rval

s o

f ti

me.

Hel

pin

g Y

ou

Rem

emb

er8.

Exp

lain

how

th

e in

form

atio

n i

n a

lin

e gr

aph

dif

fers

fro

m t

he

info

rmat

ion

in

a b

ar g

raph

.S

amp

le a

nsw

er:

Lin

e g

rap

hs

sho

w h

ow

info

rmat

ion

chan

ges

ove

r ti

me.

Bar

gra

ph

s ar

e u

sed

to

co

mp

are

dat

a.

Read

ing

to L

earn

Mat

hem

atic

sB

ar G

rap

hs

and

Lin

e G

rap

hs

NA

ME

____

____

____

____

____

____

____

____

____

____

DAT

E _

____

____

____

_P

ER

IOD

__

___

Lesson 2–2

U.S

.Woo

den

Rol

ler

Coa

ster

s

Year

Fre

qu

ency

1925

819

5018

1975

1920

0075


An

swer

s


©G

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cGra

w-H

ill72

Mat

hem

atic

s:A

pplic

atio

ns a

nd C

once

pts,

Cou

rse

1

GEO

GR

APH

YU

se t

he

grap

h t

hat

sh

ows

how

mu

ch o

f E

arth

’s l

and

th

at e

ach

con

tin

ent

rep

rese

nts

.

1.W

hic

h c

onti

nen

t h

as t

he

grea

test

are

a?A

sia

2.W

hic

h t

wo

con

tin

ents

are

th

e sm

alle

st?

Au

stra

lia a

nd

Eu

rop

e

3.H

ow d

oes

the

size

of

Eu

rope

com

pare

to

the

size

of A

fric

a?E

uro

pe

is s

mal

ler

than

Afr

ica.

4.H

ow m

uch

lar

ger

is A

sia

than

Afr

ica?

Asi

a is

on

e an

da

hal

f ti

mes

as

larg

e as

Afr

ica.

LAK

ESU

se t

he

grap

h t

hat

sh

ows

how

mu

ch o

f th

e to

tal

surf

ace

of t

he

Gre

at L

akes

eac

h l

ake

tak

es u

p.

5.W

hic

h o

f th

e G

reat

Lak

es i

s th

e sm

alle

st?

Lak

e O

nta

rio

6.W

hic

h t

wo

lake

s ar

e ab

out

the

sam

e si

ze?

Lak

e M

ich

igan

an

d L

ake

Hu

ron

7.H

ow d

oes

Lak

e E

rie

com

pare

to

Lak

e O

nta

rio?

Lak

e E

rie

is s

ligh

tly

larg

er t

han

Lak

e O

nta

rio

.

8.W

hic

h t

wo

lake

s to

geth

er a

re t

he

sam

e si

ze a

s L

ake

Su

peri

or?

Lak

e E

rie

and

Lak

e M

ich

igan

,or

Lak

e E

rie

and

Lak

e H

uro

n

VA

CA

TIO

NS

Use

th

e gr

aph

th

at s

how

s h

ow f

amil

ies

wil

l sp

end

win

ter

vaca

tion

.

9.H

ow w

ill

mos

t fa

mil

ies

spen

d th

eir

vaca

tion

s?vi

siti

ng

fam

ily

10.

Wil

l m

ore

fam

ilie

s go

to

the

beac

h o

r go

sh

oppi

ng?

go

sh

op

pin

g

11.

Com

pare

how

man

y fa

mil

ies

wil

l be

ski

ing

to h

ow m

any

wil

l be

vis

itin

g fa

mil

y.A

bo

ut

thre

e ti

mes

as

man

y fa

mili

es w

ill b

e vi

siti

ng

fam

ily a

s w

ill b

e sk

iing

.

Win

ter

Vaca

tio

n

Vis

it Fa

mily

33%

Sho

p22

%

Bea

ch7%

Hom

e27

%

Ski

11%G

reat

Lak

es

Ont

ario

8%

Sup

erio

r34

%

Hur

on24

%

Erie

10%

Mic

higa

n24

%

Co

ntin

ents

Sou

thA

mer

ica

12%

Asi

a30

%

Nor

thA

mer

ica

16%

Aus

tral

ia6%

Eur

ope

7%

Afr

ica

20%

Ant

artic

a9%

NA

ME

____

____

____

____

____

____

____

____

____

____

DAT

E _

____

____

____

_P

ER

IOD

__

___

Prac

tice:

Ski

llsC

ircl

e G

rap

hs

Lesson 2–3

©G

lenc

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cGra

w-H

ill71

Mat

hem

atic

s:A

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atio

ns a

nd C

once

pts,

Cou

rse

1

SCH

OO

LT

he

circ

le g

rap

h s

how

s th

e su

bje

cts

Mik

e st

ud

ies

du

rin

g h

omew

ork

ti

me.

Wh

ich

su

bje

ct d

oes

Mik

e sp

end

m

ost

of h

is t

ime

stu

dyi

ng?

Th

e la

rges

t se

ctio

n o

f th

e gr

aph

is

the

sect

ion

repr

esen

tin

g m

ath

.So,

mat

h t

akes

up

the

mos

t ti

me.

How

doe

s th

e ti

me

spen

t st

ud

yin

g so

cial

stu

die

s co

mp

are

to t

he

spen

t st

ud

yin

g sc

ien

ce?

Th

e se

ctio

n r

epre

sen

tin

g so

cial

stu

dies

is

abou

t tw

ice

the

size

of

the

sect

ion

rep

rese

nti

ng

scie

nce

.So,

twic

e as

mu

ch t

ime

is s

pen

t on

soc

ial

stu

dies

as

on s

cien

ce.

SUR

VEY

SU

se t

he

grap

h t

hat

sh

ows

the

resu

lts

of a

fav

orit

e co

lors

su

rvey

.1.

Wh

ich

col

or i

s th

e le

ast

favo

rite

?p

urp

le

2.W

hic

h c

olor

s ar

e th

e fa

vori

tes

of t

he

sam

e n

um

ber

of p

eopl

e?o

ran

ge

and

yel

low

3.H

ow d

oes

the

nu

mbe

r of

peo

ple

wh

o sa

y gr

een

is

thei

r fa

vori

teco

lor

com

pare

to

the

nu

mbe

r w

ho

say

yell

ow i

s th

eir

favo

rite

colo

r?A

lmo

st t

wic

e as

man

y p

eop

le s

ay g

reen

as

say

yello

w.

FOO

DU

se t

he

grap

h o

f M

ike’

s st

ud

y ti

me

from

th

e E

xam

ple

s.4.

Wh

ich

su

bjec

t do

es M

ike

spen

d th

e le

ast

tim

e st

udy

ing?

mu

sic

5.O

n w

hic

h t

wo

subj

ects

tog

eth

er d

oes

Mik

e sp

end

abou

t th

e sa

me

tim

e as

rea

din

g?so

cial

stu

die

s an

d s

cien

ce

6.H

ow d

oes

the

am

oun

t of

tim

e sp

ent

on m

ath

com

pare

to

the

amou

nt

of t

ime

Mik

esp

ends

on

sci

ence

?E

igh

t ti

mes

as

mu

ch t

ime

is s

pen

t o

n m

ath

.

Favo

rite

Co

lors

Gre

en19

%

Yello

w10

%

Blu

e33

%R

ed25

%

Pur

ple

3%O

rang

e10

%

Mik

e's

Ho

mew

ork

Mus

ic1%

Sci

ence

8%

Mat

h48

%

Soc

ial

Stu

die

s17

%

Rea

din

g26

%

A c

ircl

e g

rap

his

use

d to

com

pare

par

ts o

f a

who

le.T

he p

ie-s

hape

d se

ctio

ns s

how

the

gro

ups.

The

perc

ents

add

up

to 1

00%

.

NA

ME

____

____

____

____

____

____

____

____

____

____

DAT

E _

____

____

____

_P

ER

IOD

__

___

Stud

y Gu

ide

and

Inte

rven

tion

Cir

cle

Gra

ph

s



©G

lenc

oe/M

cGra

w-H

ill74

Mat

hem

atic

s:A

pplic

atio

ns a

nd C

once

pts,

Cou

rse

1

Pre-

Act

ivit

yC

om

ple

te t

he

Min

i Lab

at

the

top

of

pag

e 62

in y

ou

r te

xtb

oo

k.W

rite

yo

ur

answ

ers

bel

ow

.

1.M

ake

a ba

r gr

aph

of

the

data

.

2.W

hic

h g

raph

rep

rese

nts

th

e da

ta b

ette

r,a

circ

le g

raph

or

a ba

r gr

aph

? E

xpla

in.

Sam

ple

an

swer

:Th

e ci

rcle

gra

ph

bes

t re

pre

sen

ts t

he

dat

a as

yo

u c

an s

ee h

ow

eac

h c

ateg

ory

co

mp

ares

to

th

e w

ho

le.

Rea

din

g t

he

Less

on

3.A

cir

cle

grap

h c

ompa

res

part

s of

a w

hol

e.H

ow i

s a

circ

le w

ell

suit

ed f

orth

is k

ind

of r

epre

sen

tati

on?

Sam

ple

an

swer

:Th

e ci

rcle

is a

wh

ole

.Eac

h s

ecti

on

of

the

circ

le is

a p

art

of

the

wh

ole

.D

iffe

ren

ces

in s

ize

bet

wee

n o

ne

sect

ion

an

d a

no

ther

are

very

eas

y to

rec

og

niz

e vi

sual

ly.

4.A

t th

e bo

ttom

of

page

62,

the

text

say

s th

at t

he

perc

ents

add

up

to 1

00%

.W

hy

is t

his

im

port

ant?

Sam

ple

an

swer

:It

is im

po

rtan

t th

at t

he

per

cen

ts a

dd

up

to

100

% b

ecau

se 1

00%

mea

ns

that

th

ew

ho

le c

ircl

e is

fill

ed a

nd

all

dat

a ar

e re

pre

sen

ted

.

Hel

pin

g Y

ou

Rem

emb

er5.

Fin

d a

circ

le g

raph

in

a n

ewsp

aper

or

mag

azin

e.E

xpla

in t

o a

clas

smat

ew

hat

th

e se

ctio

ns

of t

he

grap

h r

epre

sen

t.S

ee s

tud

ents

’wo

rk.

10or

mor

e6–

74–

51–

3

20 1015253035 05

Percent

Peop

le

8–9

Dri

ving

Tog

ethe

r in

One

Car

to S

prin

g Br

eak

NA

ME

____

____

____

____

____

____

____

____

____

____

DAT

E _

____

____

____

_P

ER

IOD

__

___

Read

ing

to L

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Gra

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____

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Lesson 2–3

1.K

wan

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r.F

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last

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as t

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last

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l yo

u a

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tere

st r

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hey

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inte

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abo

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Sat.

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Mon. Tue.

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Prac

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Tim

es

Bec

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lin

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NA

ME

____

____

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____

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DAT

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Stud

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Clu

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Fir

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ope

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epe

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th

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perc

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th

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Mat

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FITN

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For

Exe

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12

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____

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____

____

____

____

____

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____

DAT

E _

____

____

____

_P

ER

IOD

__

___

Prac

tice:

Wor

d Pr

oble

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Mak

ing

Pre

dic

tio

ns

1.R

efer

to

Gra

ph A

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crib

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e ch

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in t

he

nu

mbe

r of

stu

den

ts t

akin

g th

eae

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lass

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amp

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Th

ere

was

a s

har

p d

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inth

e n

um

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of

stu

den

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wee

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and

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her

e w

as a

slig

ht

dec

reas

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wee

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Th

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he

nu

mb

er o

f st

ud

ents

rem

ain

edco

nst

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in w

eek

5.

2.P

redi

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ow m

any

stu

den

ts w

ill

be i

nth

e ae

robi

cs c

lass

in

wee

k 6

if t

he

tren

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nti

nu

es.

Sam

ple

an

swer

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stu

den

ts

3.P

redi

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ow m

any

stu

den

ts w

ill

be i

nth

e ae

robi

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lass

in

wee

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Sam

ple

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7 st

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4.D

escr

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the

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nu

mbe

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ups

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a ca

n d

o.S

amp

lean

swer

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e n

um

ber

of

sit-

up

sin

crea

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ste

adily

ove

r th

e 5

wee

ks.

5.P

redi

ct h

ow m

any

sit-

ups

Car

a w

ill

beab

le t

o do

in

wee

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if t

he

tren

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nti

nu

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Sam

ple

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swer

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sit

-up

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6.P

redi

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he

wee

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wh

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Car

a w

ill

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le t

o do

80

sit-

ups

if

the

tren

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nti

nu

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Sam

ple

an

swer

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eek

7

Lesson 2–4

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lenc

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Mat

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RN

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grap

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any

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ober

2001

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ou

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0 m

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uar

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Mo

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anu

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of

acti

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how

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tim

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75 70 6580859095100

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Users (millions)

Date

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Act

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____

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____

____

____

____

____

____

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DAT

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1980

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____

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____

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th

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y.W

hat

mea

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give

n f

or t

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wor

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amp

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nsw

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o d

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r in

dic

ate

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to f

ore

tell

4.L

ook

up

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wor

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end

in a

dic

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Wh

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th

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ord

as i

t is

use

d in

th

e de

fin

itio

n o

f li

ne

grap

h?

Sam

ple

an

swer

:T

he

gen

eral

mov

emen

t in

th

e co

urs

e o

f ti

me

of

a st

atis

tica

llyd

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tab

le c

han

ge;

ten

den

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5.L

ook

at t

he

lin

e gr

aph

at

the

bott

om o

f pa

ge 6

6.In

ter

ms

of t

ren

d,w

hat

h

appe

ned

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wee

n 1

997

and

1998

? W

hat

is

the

diff

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ce b

etw

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pr

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ta o

r st

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?S

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199

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ney

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ner

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ove

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dat

a p

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1997

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stat

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Pre-

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at

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top

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pag

e 72

in y

ou

r te

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k.W

rite

you

r an

swer

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elo

w.

1.W

hat

wer

e th

e le

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and

grea

test

nu

mbe

r of

poi

nts

sco

red?

56;

97

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hic

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um

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of p

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4.In

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,how

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he

ten

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un

its

dig

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aves

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5.In

th

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low

th

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leaf

plo

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pag

e 72

,it

says

"A

lway

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rite

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rep

eats

."

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ause

of

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ru

le,w

hat

do

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leav

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th

at y

ou d

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now

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quen

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able

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amp

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er:

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d-le

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at t

he

top

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age

73.W

hat

nu

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per

day

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mos

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ten

in

th

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hat

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th

at n

um

ber

indi

cate

?09

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9;o

n e

ach

of

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se f

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Sh

ow s

omeo

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wh

at a

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is,h

ow t

o re

ad o

ne,

and

how

to

mak

e on

e.S

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ents

’wo

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ple

an

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he

dat

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om

leas

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ates

t.2)

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w a

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l lin

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est.

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om

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____

____

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____

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Lesson 2–5

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How

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____

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Mat

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Lin

gu

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Lin

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is t

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stu

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f h

um

an s

peec

h.T

he

acti

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on

th

is p

age

show

sth

e ty

pe o

f da

ta c

olle

ctio

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nd

anal

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th

at m

igh

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don

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wh

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g th

e st

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En

glis

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angu

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All

qu

esti

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refe

r to

th

eP

ream

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to t

he

U.S

.Con

stit

uti

on,p

rin

ted

at t

he

bott

om o

f th

e pa

ge.

1.W

hic

h t

wo

con

son

ants

do

you

th

ink

appe

ar m

ost

ofte

n i

n t

he

Pre

ambl

e?S

ee s

tud

ents

’wo

rk.

2.W

hic

h v

owel

do

you

th

ink

appe

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mos

t of

ten

in

th

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ream

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lea

st o

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tud

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ompl

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this

tab

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un

tin

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curr

ence

s of

eac

h l

ette

r.A

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let

ters

hav

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en c

oun

ted

alre

ady,

to h

elp

you

get

sta

rted

.(H

int:

You

r to

tal

shou

ld b

e 26

8.)

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hic

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wo

con

son

ants

act

ual

ly a

ppea

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ofte

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and

t5.

Fin

d th

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ean

fre

quen

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or t

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con

son

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tw

o co

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nan

ts o

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rth

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oses

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um

ber

of t

imes

to

this

mea

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abo

ut

7.6;

c an

d m

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hic

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act

ual

ly a

ppea

rs m

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ofte

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n t

he

Pre

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east

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7.F

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s.W

hic

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21.6

;i

8.W

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do y

ou t

hin

k oc

curs

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th

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ream

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V

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ur

answ

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See

stu

den

ts’w

ork

;“th

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ccu

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ost

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qu

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Pre

amb

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o th

e C

onst

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of

the

Un

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Sta

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of A

mer

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We

the

Peo

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of t

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Sta

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in o

rder

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r th

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mm

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d se

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ME

____

____

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____

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the

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rite

yo

ur

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ow m

any

pen

nie

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e in

eac

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up?

8

2.F

or t

he

five

qu

izze

s,yo

ur

aver

age

scor

e w

as _

____

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oin

ts.

8

3.S

upp

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ave

you

an

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u s

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poi

nts

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ow m

any

pen

nie

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p?9

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wor

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dic

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te t

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nin

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at f

its

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way

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in t

his

les

son

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amp

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lue

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lies

wit

hin

a r

ang

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mp

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o a

pre

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met

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at is

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ted

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a se

t o

f te

rms

by t

he

nu

mb

er o

f te

rms)

Loo

k a

t th

e p

arag

rap

h b

elow

th

e ac

tivi

ty a

t th

e to

p o

f p

age

76 i

n y

our

text

boo

k.A

nu

mb

er t

hat

hel

ps

des

crib

e al

l of

th

e d

ata

in a

dat

a se

t is

an a

vera

ge.A

n a

vera

ge i

s al

so r

efer

red

to

as a

mea

sure

of

cen

tral

ten

den

cy.

5.Is

th

e m

ean

a g

ood

mea

sure

of

cen

tral

ten

den

cy w

hen

th

ere

is n

o ou

tlie

r?G

ive

an e

xam

ple.

Yes;

Sam

ple

an

swer

:O

ne

exam

ple

co

uld

be

the

dat

a in

th

e M

ini L

ab.L

oo

kin

g a

t al

l th

e va

lues

,8 is

ava

lue

in t

he

cen

ter

of

the

set.

6.Is

th

e m

ean

a g

ood

mea

sure

of

cen

tral

ten

den

cy w

hen

th

ere

is a

n o

utl

ier?

Giv

e an

exa

mpl

e.N

o;

Sam

ple

an

swer

:A

n o

utl

ier

cau

ses

the

mea

n t

o m

ove

away

fro

m t

he

cen

ter

of

the

dat

a in

th

ed

irec

tio

n o

f th

e o

utl

ier.

Hel

pin

g Y

ou

Rem

emb

er7.

Exp

lain

on

e pr

oble

m w

ith

usi

ng

the

mea

n a

s a

mea

sure

of

cen

tral

ten

den

cy.

Sam

ple

an

swer

:Wh

en u

sin

g t

he

mea

n a

s a

mea

sure

of

cen

tral

ten

den

cy,a

n o

utl

ier

can

sh

ift

the

mea

nfr

om

th

e ce

nte

r o

f th

e d

ata.

Lesson 2–6

Read

ing

to L

earn

Mat

hem

atic

sM

ean

©G

lenc

oe/M

cGra

w-H

ill89

Mat

hem

atic

s:A

pplic

atio

ns a

nd C

once

pts,

Cou

rse

1

NA

ME

____

____

____

____

____

____

____

____

____

____

DAT

E _

____

____

____

_P

ER

IOD

__

___


An

swer

s


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lenc

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Mat

hem

atic

s:A

pplic

atio

ns a

nd C

once

pts,

Cou

rse

1

Fin

d t

he

mea

n,m

edia

n,m

ode,

and

ran

ge f

or e

ach

set

of

dat

a.

1.6,

9,2,

4,3,

6,5

2.13

,6,7

,13,

65;

5;6;

79;

7;6

and

13;

7

3.1,

15,9

,12,

18,9

,5,1

4,7

4.13

,7,1

7,19

,7,1

5,11

,710

;9;

9;17

12;

12;

7;12

5.3,

9,4,

3,9,

4,2,

3,8

6.25

,18,

14,2

7,25

,14,

18,2

5,23

5;4;

3;7

21;

23;

25;

13

7.8,

3,9,

4,6,

7,5

8.28

,32,

23,4

3,32

,27,

21,3

46;

6;n

o m

od

e;6

30;

30;

32;

22

9.15

7,12

4,15

7,12

4,15

7,13

910

.42

,35,

27,4

2,38

,35,

29,2

4

143;

148;

157;

3334

;35

;35

an

d 4

2;18

11.

Wri

te a

sen

ten

ce t

hat

des

crib

es h

ow t

he

data

ite

ms

in E

xerc

ise

5 va

ry.

Sam

ple

an

swer

:Th

e ra

ng

e,7,

is n

ot

larg

e,so

th

e d

ata

do

no

tva

ry g

reat

ly in

val

ue.

12.

Wh

y is

mod

e n

ot t

he

best

ch

oice

to

desc

ribe

th

e da

ta i

n E

xerc

ise

5?E

xpla

in.

Sam

ple

an

swer

:Th

e m

od

e,3,

is le

ss t

han

th

em

ajo

rity

of

the

dat

a in

th

e se

t.T

he

mea

n o

r m

edia

n w

ou

ldb

ette

r re

pre

sen

t th

e av

erag

e o

f th

e d

ata.

MU

SEU

MS

Use

th

e ta

ble

sh

owin

g th

e n

um

ber

of

vis

itor

s to

th

e ar

t m

use

um

eac

h m

onth

.

13.

Wh

at i

s th

e m

ean

of

the

data

?5

tho

usa

nd

vis

ito

rs

14.

Wh

at i

s th

e m

edia

n o

f th

e da

ta?

4 th

ou

san

d v

isit

ors

15.

Wh

at i

s th

e m

ode

of t

he

data

?3

tho

usa

nd

vis

ito

rs

16.

Wh

ich

mea

sure

of

cen

tral

ten

den

cy b

est

desc

ribe

s th

e da

ta?

Exp

lain

.S

amp

le a

nsw

er:T

he

med

ian

bec

ause

it is

clo

ser

in v

alu

e to

mo

st o

f th

e d

ata;

the

mea

n is

to

o h

igh

an

d t

he

mo

de

is t

oo

low

.

NA

ME

____

____

____

____

____

____

____

____

____

____

DAT

E _

____

____

____

_P

ER

IOD

__

___

Prac

tice:

Ski

llsM

edia

n,M

od

e,an

d R

ang

e

Vis

tors

to

the

Art

Mu

seu

m (

thou

san

ds)

311

54

53

63

122

24

Lesson 2–7

©G

lenc

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cGra

w-H

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Mat

hem

atic

s:A

pplic

atio

ns a

nd C

once

pts,

Cou

rse

1

Th

e ta

ble

sh

ows

the

cost

s of

sev

en

dif

fere

nt

boo

ks.

Fin

d t

he

mea

n,

med

ian

,an

d m

ode

of t

he

dat

a.

mea

n:

��10 75 �

or 1

5

To

fin

d th

e m

edia

n,w

rite

th

e da

ta i

n o

rder

fro

m l

east

to

grea

test

.m

edia

n:1

1,13

,13,

14,1

6,16

,22

To

fin

d th

e m

ode,

fin

d th

e n

um

ber

or n

um

bers

th

at o

ccu

r m

ost

ofte

n.

mod

e:11

,13,

13,1

4,16

,16,

22

Th

e m

ean

is

$15.

Th

e m

edia

n i

s $1

4.T

her

e ar

e tw

o m

odes

,$13

an

d $1

6.

Fin

d t

he

ran

ge o

f th

e d

ata

in t

he

tab

le.

Th

en w

rite

a s

ente

nce

des

crib

ing

how

th

e d

ata

vary

.

Th

e gr

eate

st v

alu

e is

63.

Th

e le

ast

valu

e is

32.

So,

the

ran

ge i

s 63

°�

32°

or 3

1°.T

he

ran

ge i

s la

rge.

It t

ells

us

that

th

e da

ta v

ary

grea

tly

in v

alu

e.

Fin

d t

he

mea

n,m

edia

n,m

ode,

and

ran

ge o

f ea

ch s

et o

f d

ata.

1.14

,13,

14,1

6,8

2.29

,31,

14,2

1,31

,22,

2013

;14

;14

;8

24;

22;

31;

17

3.4.

73;

72;

72;

263

in.;

3 in

.;n

on

e;6

in.

Whe

reas

the

mea

sure

s of

cen

tral

ten

denc

y de

scrib

e th

e av

erag

e of

a s

et o

f da

ta,

the

ran

ge

of a

set

of

data

des

crib

es h

ow t

he d

ata

vary

.

22 �

13�

11�

16�

14�

13�

16�

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��

7

The

med

ian

is t

he m

iddl

e nu

mbe

r of

the

dat

a pu

t in

ord

er,

or t

he m

ean

of t

he m

iddl

e tw

o nu

mbe

rs.

The

mo

de

is t

he n

umbe

r or

num

bers

tha

t oc

cur

mos

t of

ten.

NA

ME

____

____

____

____

____

____

____

____

____

____

DAT

E _

____

____

____

_P

ER

IOD

__

___

Stud

y Gu

ide

and

Inte

rven

tion

Med

ian

,Mo

de,

and

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ge

Sn

owfa

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in.)

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7260

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lenc

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Mat

hem

atic

s:A

pplic

atio

ns a

nd C

once

pts,

Cou

rse

1

Pre-

Act

ivit

yC

om

ple

te t

he

acti

vity

at

the

top

of

pag

e 80

in y

ou

r te

xtb

oo

k.W

rite

you

r an

swer

s b

elo

w.

1.F

ind

the

mea

n w

ings

pan

.10

ft

2.L

ist

the

data

in

ord

er f

rom

lea

st t

o gr

eate

st.

6,9,

10,1

0,11

,12,

12

3.W

hic

h d

ata

are

in t

he

mid

dle

of t

he

arra

nge

d da

ta?

10

4.C

ompa

re t

he

nu

mbe

r th

at i

s in

th

e m

iddl

e of

th

e da

ta s

et t

o th

e m

ean

of

the

data

.T

he

valu

es a

re t

he

sam

e.

Rea

din

g t

he

Less

on

5.H

ow a

re m

ean

,med

ian

,an

d m

ode

sim

ilar

? H

ow a

re t

hey

dif

fere

nt?

Sam

ple

answ

er:

All

thre

e ar

e si

mila

r in

th

at t

hey

are

mea

sure

s o

f ce

ntr

alte

nd

ency

an

d in

dic

ate

cen

ters

of

dat

a se

ts;

they

are

dif

fere

nt

by t

hei

rd

efin

itio

ns.

Th

e m

ean

is f

ou

nd

by

div

idin

g t

he

sum

of

all t

he

valu

es b

yth

e n

um

ber

of

valu

es in

th

e se

t.T

he

med

ian

is t

he

mid

dle

nu

mb

er o

f an

ord

ered

set

.If

the

set

has

an

eve

n n

um

ber

of

valu

es,t

he

med

ian

is t

he

mea

n o

f th

e tw

o m

idd

le v

alu

es.T

he

mo

de

is t

he

nu

mb

er o

r n

um

ber

s th

ato

ccu

r m

ost

fre

qu

entl

y in

th

e se

t.L

ook

at

Exa

mp

le 3

at

the

bot

tom

of

pag

e 81

.Als

o,lo

ok a

t it

s op

enin

gst

atem

ent,

"Som

e av

erag

es m

ay d

escr

ibe

a d

ata

set

bet

ter

than

oth

erav

erag

es."

6.W

hic

h a

vera

ges

are

disc

uss

ed i

n t

he

exam

ple?

mea

n,m

edia

n,m

od

e

7.W

hat

is

cau

sin

g th

e m

ean

to

be s

o h

igh

?th

e o

utl

ier,

54

8.W

hat

if

ther

e w

ere

two

54s?

How

wou

ld t

hat

aff

ect

the

aver

ages

?S

amp

le a

nsw

er:

Bo

th t

he

mea

n a

nd

on

e m

od

e w

ou

ld b

e fa

r fr

om

th

e ce

nte

r o

f th

e d

ata.

Th

e m

edia

n w

ou

ld b

eco

me

6,w

hic

h is

sti

ll cl

ose

to

th

e ce

nte

r o

f m

ost

of

the

oth

er v

alu

es in

th

e se

t.9.

Doe

s th

is e

xam

ple

illu

stra

te i

ts o

pen

ing

stat

emen

t?ye

s

Hel

pin

g Y

ou

Rem

emb

er10

.Yo

u m

ay a

lrea

dy k

now

th

at a

med

ian

str

ip r

efer

s to

th

e co

ncr

ete

or

lan

dsca

ped

divi

der

that

ru

ns

dow

n t

he

cen

ter

of m

any

road

s.H

ow d

oes

this

ide

a of

med

ian

rel

ate

to t

he

mea

nin

g of

med

ian

in

th

is l

esso

n?

Sam

ple

answ

er:

A m

edia

n s

trip

is lo

cate

d in

th

e m

idd

le o

f a

road

,div

idin

g it

into

two

hal

ves.

Sim

ilarl

y,th

e m

edia

n o

f a

set

of

dat

a is

th

e m

idd

le v

alu

e,th

eva

lue

that

div

ides

th

e d

ata

into

tw

o h

alve

s.

NA

ME

____

____

____

____

____

____

____

____

____

____

DAT

E _

____

____

____

_P

ER

IOD

__

___

Read

ing

to L

earn

Mat

hem

atic

sM

edia

n,M

od

e,an

d R

ang

e

©G

lenc

oe/M

cGra

w-H

ill93

Mat

hem

atic

s:A

pplic

atio

ns a

nd C

once

pts,

Cou

rse

1

SCIE

NC

EF

or E

xerc

ises

1–3

,use

Tab

le A

.For

Exe

rcis

es 4

–6,u

se T

able

B.

Tab

le A

sh

ows

the

nu

mb

er o

f d

ays

it t

ook

for

som

e se

eds

to g

erm

inat

eaf

ter

pla

nti

ng.

Tab

le B

sh

ows

how

tal

l th

e p

lan

ts w

ere

afte

r 60

day

s.

Tab

le A

Tab

le B

Prac

tice:

Wor

d Pr

oble

ms

Med

ian

,Mo

de,

and

Ran

ge

NA

ME

____

____

____

____

____

____

____

____

____

____

DAT

E _

____

____

____

_P

ER

IOD

__

___

Lesson 2–7

1.R

efer

to

Tab

le A

.You

are

doi

ng

som

eex

peri

men

ts w

ith

ger

min

atin

g se

eds.

You

are

pre

pari

ng

a re

port

on

you

rfi

ndi

ngs

to

a se

ed c

ompa

ny.

Wh

at a

reth

e m

ean

,med

ian

,an

d m

ode

of t

he

data

?18

day

s;16

day

s;15

day

s

2.U

se y

our

answ

er f

rom

Exe

rcis

e 1.

Wh

ich

mea

sure

of

cen

tral

ten

den

cybe

st d

escr

ibes

th

e da

ta?

Exp

lain

.S

amp

le a

nsw

er:

Med

ian

;th

em

edia

n is

clo

ser

in v

alu

e to

mo

re o

f th

e d

ata

than

th

e m

ean

or

the

mo

de.

Th

e o

utl

ier,

30,

mak

es t

he

mea

n t

oo

hig

h,a

nd

the

mo

de

is t

oo

clo

se t

o t

he

low

er e

nd

of

the

dat

a.

3.W

hat

is

the

ran

ge o

f th

e se

edge

rmin

atio

n d

ata?

Des

crib

e h

ow t

he

data

var

y.21

day

s;S

amp

lean

swer

:Th

e d

ata

vary

wid

ely

du

e to

ext

rem

ely

low

an

d h

igh

valu

es;

ho

wev

er,t

he

dat

a w

ith

inth

e m

idd

le v

alu

es a

re q

uit

esi

mila

r.

4.W

hat

are

th

e m

ean

,med

ian

,an

d m

ode

of t

he

plan

t h

eigh

t da

ta?

17 in

.;17

in.;

17 in

.

5.R

efer

to

you

r an

swer

in

Exe

rcis

e 4.

Wh

ich

mea

sure

of

cen

tral

ten

den

cybe

st d

escr

ibes

th

e da

ta?

Exp

lain

.S

amp

le a

nsw

er:

Sin

ce a

ll th

em

easu

res

are

the

sam

e,an

y o

fth

em d

escr

ibes

th

e d

ata

wel

l.

6.W

hat

is

the

ran

ge o

f th

e pl

ant

hei

ght

data

? D

escr

ibe

how

th

e da

ta v

ary.

8 in

.;S

amp

le a

nsw

er:T

he

dat

aar

e cl

ose

in v

alu

e an

d d

o n

ot

vary

gre

atly

.

Hei

ght

(in

.) o

f P

lan

ts

Aft

er 6

0 D

ays

1719

1317

2015

1721

14

Nu

mb

er o

f D

ays

for

See

ds

to G

erm

inat

e

1520

3015

169

2121

15


An

swer

s


©G

lenc

oe/M

cGra

w-H

ill96

Mat

hem

atic

s:A

pplic

atio

ns a

nd C

once

pts,

Cou

rse

1

Th

e gr

aph

s at

th

e ri

ght

show

how

th

e co

st o

f a

mov

ie i

ncr

ease

d o

ver

tim

e.W

hic

h g

rap

hap

pea

rs t

o sh

ow t

hat

th

e co

st i

ncr

ease

d m

ore

qu

ick

ly?

Exp

lain

.

Bot

h g

raph

s sh

ow t

he

sam

e da

ta,b

ut

Gra

ph B

app

ears

to

show

th

e co

st

incr

easi

ng

mor

e qu

ickl

y.G

raph

A u

ses

asc

ale

of 2

an

d G

raph

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ses

a sc

ale

of 1

.

Ref

er t

o th

e ta

ble

.Th

e st

ore

says

th

e av

erag

e p

rice

of

an e

lect

ron

ic

pet

is

$12.

Exp

lain

how

usi

ng

this

av

erag

e to

att

ract

cu

stom

ers

wit

h

low

pri

ces

is m

isle

adin

g.

Ord

er t

he

data

fro

m l

east

to

grea

test

:12,

12,1

2,14

,15,

15,2

0,20

,21,

49.

mea

n:$

19m

edia

n:$

15m

ode:

$12

Th

e st

ore

use

d th

e m

ode

as t

he

aver

age.

Bec

ause

th

e m

ode

pric

e is

les

s th

an t

he

oth

erpr

ices

,it

is n

ot t

he

mos

t ac

cura

te a

vera

ge t

o u

se.

1.In

Exa

mpl

e 1,

how

cou

ld y

ou c

han

ge G

raph

A t

o ap

pear

to

show

th

at t

he

cost

ros

e m

ore

slow

ly?

Sam

ple

an

swer

:C

han

ge

the

scal

e to

3.

2.O

leta

’s t

est

scor

es i

n o

rder

fro

m l

east

to

grea

test

wer

e 19

,75,

76,8

2,83

.F

ind

the

mea

n,m

edia

n,a

nd

mod

e of

th

e da

ta.W

hic

h m

easu

re m

igh

t be

mis

lead

ing

in d

escr

ibin

g th

e av

erag

e n

um

ber

of p

oin

ts O

leta

ear

ned

.67

;76

;N

o m

od

e;th

e m

ean

is t

oo

low

bec

ause

it in

clu

des

th

eo

utl

ier

19.

Usi

ng a

n in

appr

opria

te m

easu

re o

f ce

ntra

l ten

denc

y ca

n ca

use

read

ers

to m

ake

a w

rong

con

clus

ion.

1999 2000 2001 2002

2003

3 2 145678910

Price ($)

Year

0

Mov

ie T

icke

tsGr

aph

B

1999 2000 2001 2002

2003

6 4 28101214161820

Price ($)

Year

0

Mov

ie T

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tsGr

aph

A

Gra

phs

can

lead

rea

ders

to

the

wro

ng c

oncl

usio

n ab

out

the

data

whe

n th

e nu

mbe

rs o

n ei

ther

sca

lear

e in

cons

iste

nt,

the

vert

ical

or

horiz

onta

l sca

le d

oes

not

star

t at

zer

o, o

r di

ffere

nt s

cale

s ar

e us

ed.

NA

ME

____

____

____

____

____

____

____

____

____

____

DAT

E _

____

____

____

_P

ER

IOD

__

___

Stud

y Gu

ide

and

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rven

tion

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alyz

ing

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ph

s

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ctro

nic

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ces

($)

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Mat

hem

atic

s:A

pplic

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nd C

once

pts,

Cou

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1

Puzz

ling

Ove

r D

ata

Eac

h p

uzz

le o

n t

his

pag

e co

nta

ins

an i

nco

mpl

ete

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e:m

ean

�18

set

of d

ata.

Th

e cl

ues

giv

e yo

u i

nfo

rmat

ion

abo

ut

the

mea

n,m

edia

n,m

ode,

or r

ange

of

the

data

.D

ata:

12,1

7,18

,19,

19,

Wor

kin

g fr

om t

hes

e cl

ues

,you

can

dec

ide

wh

at

the

mis

sin

g da

ta i

tem

s m

ust

be.

For

exa

mpl

e,th

is

is h

ow y

ou m

igh

t so

lve

the

data

pu

zzle

at

the

righ

t.

Th

ere

are

6 it

ems

of d

ata.

Th

e m

ean

is

18,s

o th

e su

m o

f th

e da

ta m

ust

be

6 �

18 �

108.

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th

e gi

ven

dat

a:12

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ubt

ract

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m 1

08:1

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23.

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the

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plet

e se

t of

dat

a is

:12,

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23

.

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d t

he

mis

sin

g d

ata.

(Ass

um

e th

at t

he

dat

a it

ems

are

list

ed i

n o

rder

from

lea

st t

o gr

eate

st.)

1.C

lue:

mod

e�

82.

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e:m

edia

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54.5

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a:7,

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____

____

____

____

____

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____

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Lesson 2–7



©G

lenc

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cGra

w-H

ill98

Mat

hem

atic

s:A

pplic

atio

ns a

nd C

once

pts,

Cou

rse

1

BU

SIN

ESS

For

Exe

rcis

es 1

an

d 2

,use

Gra

ph

A.F

or E

xerc

ises

3 a

nd

4,

use

Gra

ph

s B

an

d C

.Th

e gr

aph

s sh

ow t

he

nu

mb

er o

f D

VD

s an

dvi

deo

s so

ld b

y a

vid

eo s

tore

.

Gra

ph

AG

rap

h B

Gra

ph

C

Jan. Feb.

Mar.Ap

r.MayJu

ne

6 4 281012

Number Sold(thousands)

Mon

th

0

Sale

s

Jan. Feb.

Mar.Ap

r.MayJu

ne

3 2 1456

Number Sold(thousands)

Mon

th

0

Sale

s

Vide

osD

VDs

300

350

400

250 0

200

Number Sold

Mar

ch S

ales

NA

ME

____

____

____

____

____

____

____

____

____

____

DAT

E _

____

____

____

_P

ER

IOD

__

___

Prac

tice:

Wor

d Pr

oble

ms

An

alyz

ing

Gra

ph

s

1.A

bou

t h

ow m

any

tim

es f

ewer

DV

Ds

than

vid

eos

appe

ar t

o h

ave

been

sol

d?ab

ou

t tw

o a

nd

a h

alf

tim

es

2.E

xpla

in h

ow G

raph

A i

s m

isle

adin

g.S

amp

le a

nsw

er:T

he

vert

ical

scal

e is

inco

nsi

sten

t si

nce

itd

oes

no

t in

clu

de

50 t

hro

ug

h 1

50.

3.T

he

grap

hs

show

th

e sa

me

data

.Wh

ich

grap

h a

ppea

rs t

o sh

ows

that

th

en

um

ber

of D

VD

s an

d vi

deos

sol

din

crea

sed

mor

e ra

pidl

y? E

xpla

in.

Gra

ph

B;

the

scal

e is

dif

fere

nt.

4.T

he

stor

e ow

ner

is

tryi

ng

to g

et a

loa

nfr

om t

he

ban

k an

d w

ants

to

show

th

atbu

sin

ess

is g

ood.

Wh

ich

gra

ph s

hou

ldth

e st

ore

own

er s

how

th

e ba

nk?

Exp

lain

.G

rap

h B

;Th

e b

ank

ism

ore

like

ly t

o in

vest

mo

ney

in a

com

pan

y w

ith

rap

idly

incr

easi

ng

sale

s.

5.M

AR

KET

ING

A s

tore

adv

erti

ses

that

it

has

th

e lo

wes

t av

erag

e pr

ice

for

T-sh

irts

in

tow

n.F

ind

the

mea

n,

med

ian

,an

d m

ode

of t

he

pric

es.

T-S

hir

t P

rice

s:$1

4,$5

,$10

,$12

,$5,

$4,$

13$9

;$1

0;$5

6.M

AR

KET

ING

Use

you

r an

swer

fro

mE

xerc

ise

5.W

hic

h m

easu

re o

f ce

ntr

alte

nde

ncy

des

crib

es t

he

aver

age

T-sh

irt

pric

e th

e m

ost

accu

rate

ly?

Exp

lain

.S

amp

le a

nsw

er:

Med

ian

;Th

em

edia

n is

slig

htl

y cl

ose

r to

mo

sto

f th

e va

lues

th

an t

he

mea

n.T

he

mo

de

is a

mu

ch lo

wer

val

ue

than

th

e o

ther

val

ues

in t

he

dat

a se

t.

Prac

tice:

Ski

llsA

nal

yzin

g G

rap

hs

Lesson 2–8

©G

lenc

oe/M

cGra

w-H

ill97

Mat

hem

atic

s:A

pplic

atio

ns a

nd C

once

pts,

Cou

rse

1

AN

IMA

LSF

or E

xerc

ises

1–3

,use

th

e gr

aph

th

at s

how

s th

e w

eigh

t of

bea

rs.

1.A

bou

t h

ow m

any

tim

es h

eavi

er d

oes

a gr

izzl

y be

ar a

ppea

r to

be

than

a b

lack

bea

r?ab

ou

t fo

ur

tim

es h

eavi

er

2.E

xpla

in h

ow t

his

gra

ph i

s m

isle

adin

g.T

he

vert

ical

sc

ale

is in

con

sist

ent.

3.R

edra

w t

he

grap

h s

o th

at i

t is

not

so

mis

lead

ing.

4.B

USI

NES

ST

he

grap

hs

belo

w s

how

com

pan

y sa

les.

Wh

ich

gr

aph

mak

es t

he

sale

s ap

pear

to

be i

ncr

easi

ng

mor

e ra

pidl

y?

Exp

lain

.

Gra

ph

A;

Sam

ple

an

swer

:G

rap

h A

use

s a

scal

e o

f 2.

Gra

ph

B u

ses

a sc

ale

of

4.B

ecau

se t

he

inte

rval

is s

mal

ler,

the

sale

sin

Gra

ph

A a

pp

ear

to in

crea

se m

ore

rap

idly

.

BU

DG

ETS

Use

th

e ta

ble

th

at s

how

s th

e 20

03

bu

dge

ts f

or e

igh

t n

atio

nal

par

ks.

5.F

ind

the

mea

n,m

edia

n,a

nd

mod

e of

th

e da

ta.

$9,0

00,0

00;

$8,0

00,0

00;

$6,0

00,0

00

6.W

hic

h m

easu

re w

ould

be

mis

lead

ing

in d

escr

ibin

g th

e av

erag

e bu

dget

for

th

ese

park

s?E

xpla

in.

the

mo

de

bec

ause

it is

mu

ch lo

wer

in v

alu

e th

an m

ost

of

the

oth

er d

ata

7.W

hic

h m

easu

re d

escr

ibes

th

e da

ta m

ost

accu

rate

ly?

Exp

lain

.T

he

med

ian

or

the

mea

n b

ecau

se

thes

e va

lues

are

clo

se in

val

ue

to m

ost

of

the

dat

a.

1998

1999

2000

2001

2002

12

8 4162024

Users (millions)

Year

0

Com

pany

Sal

esGr

aph

B

1998

1999

2000

2001

2002

6 4 281012

Users (millions)

Year

0

Com

pany

Sal

esGr

aph

A

Griz

zly

Bea

rB

lack

Bea

r

300

400

500

600

700

200 0

100

Weight (lb)

Wei

ght o

f Bea

rsGr

aph

B

Griz

zly

Bea

rB

lack

Bea

r

500

600

700

400 0

300

Weight (lb)

Wei

ght o

f Bea

rsGr

aph

A

NA

ME

____

____

____

____

____

____

____

____

____

____

DAT

E _

____

____

____

_P

ER

IOD

__

___

Nat

ion

al P

ark

200

3 B

ud

get

Par

kB

ud

get

($)

Aca

dia

Cra

ter

Lak

eD

enal

iE

verg

lade

sM

amm

oth

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eO

lym

pic

Gre

at S

mok

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6,00

0,00

04,

000,

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11,0

00,0

0014

,000

,000

6,00

0,00

010

,000

,000

15,0

00,0

006,

000,

000


An

swer

s


©G

lenc

oe/M

cGra

w-H

ill10

0M

athe

mat

ics:

App

licat

ions

and

Con

cept

s, C

ours

e 1

Be

a D

ata

Det

ecti

ve!

Eac

h o

f th

e gr

aph

s on

th

is p

age

has

bee

n d

raw

n i

nco

rrec

tly.

Can

you

det

ect

the

mis

take

?

1.2.

Mis

take

:M

issi

ng

info

rmat

ion

M

ista

ke:

Inte

rval

fro

m 1

800–

1900

abo

ut

wh

at e

ach

sym

bo

l mea

ns.

is n

ot

equ

al t

o o

ther

inte

rval

s.

3.4.

Mis

take

:L

ine

gra

ph

is n

ot

Mis

take

:A

xes

are

reve

rsed

.ap

pro

pri

ate

for

thes

e d

ata.

5.D

raw

a c

orre

cted

gra

ph f

or E

xerc

ise

3.6.

Dra

w a

cor

rect

ed g

raph

for

Exe

rcis

e 4.

24681012

1994

1996

1998

2000

Year

Number ofAutomobiles

(millions)

Reta

il Sa

les

of A

utom

obile

s

020406080100

Supe

rior

Mic

higa

nH

uron

Erie

Ont

ario

Lake

Square Miles(thousands)

Are

as o

f the

Gre

at L

akes

1994

1996

1998

2000

2002

8,990

,000

8,526

,000

8,142

,000

8,846

,000

Reta

il Sa

les

of A

utom

obile

s

Num

ber o

f Aut

omob

iles

Year

020406080100

Supe

rior

Michiga

n

Huron

Erie

Ontari

o

Lake

Square Miles(thousands)

Are

as o

f the

Gre

at L

akes

050100

150

200

250

300 18

0019

0019

2519

5019

7520

00(p

roje

cted

)

Population(millions)

Year

Unite

d St

ates

Pop

ulat

ion

Fict

ion

Bio

grap

hy

Refe

renc

e

Oth

er

Wee

kly

Book

Sal

es

NA

ME

____

____

____

____

____

____

____

____

____

____

DAT

E _

____

____

____

_P

ER

IOD

__

___

Enric

hmen

t

©G

lenc

oe/M

cGra

w-H

ill99

Mat

hem

atic

s:A

pplic

atio

ns a

nd C

once

pts,

Cou

rse

1

Pre-

Act

ivit

yC

om

ple

te t

he

acti

vity

at

the

top

of

pag

e 86

in y

ou

r te

xtb

oo

k.W

rite

you

r an

swer

bel

ow

.

1.S

upp

ose

you

loo

k at

th

e le

ngt

hs

of t

he

bars

th

at r

epre

sen

t D

an M

arin

o an

d T

erry

Bra

dsh

aw.Y

ou m

igh

t co

ncl

ude

th

at D

an M

arin

o th

rew

th

ree

tim

es a

s m

any

tou

chdo

wn

pas

ses

as T

erry

Bra

dsh

aw.W

hy

is t

his

co

ncl

usi

on i

nco

rrec

t?T

he

bar

th

at r

epre

sen

ts D

an M

arin

o is

th

ree

tim

es a

slo

ng

as

the

bar

th

at r

epre

sen

ts T

erry

Bra

dsh

aw.H

ow

ever

,by

com

par

ing

the

nu

mb

ers,

you

fin

d t

hat

Dan

Mar

ino

th

rew

tw

ice

as m

any

tou

chd

ow

np

asse

s as

Ter

ry B

rad

shaw

.

Rea

din

g t

he

Less

on

For

Exe

rcis

es 2

–4,l

ook

at

the

firs

t se

nte

nce

bel

ow t

he

acti

vity

at

the

top

of

pag

e 86

:“G

rap

hs

let

read

ers

anal

yze

and

in

terp

ret

dat

a ea

sily

.”

2.L

ook

in a

dic

tion

ary

for

mea

nin

g of

th

e w

ord

anal

yze.

Wri

te a

def

init

ion

that

fit

s th

e se

nte

nce

just

qu

oted

.S

amp

le a

nsw

er:

to e

xam

ine

ind

etai

l so

as

to d

eter

min

e th

e n

atu

re o

r te

nd

enci

es o

f 3.

Do

the

sam

e fo

r th

e w

ord

inte

rpre

t.W

rite

a d

efin

itio

n t

hat

fit

s th

ese

nte

nce

just

qu

oted

.S

amp

le a

nsw

er:

to e

xpla

in t

he

mea

nin

g o

f 4.

Wh

y is

it

impo

rtan

t to

an

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86 m

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ecau

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on

;It

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____

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Lesson 2–8


An

swer

s

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

11.

12.

13.

14.

15.

16.

17.

18.

19.

20.

B:

1.

2.

3.

4.

5.

7.

8. G

A

C

I

B

I

D

See students’ work.

H

B

H

C

F

C

G

D

I

C

I

C

G

A

H

C

G

A

H

A

Chapter 2 Assessment Answer KeyForm 1 Form 2APage 101 Page 102 Page 103

(continued on the next page)


9.

10.

11.

12.

13.

14.

15.

16.

17.

18.

19.

20.

B:

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

11.

12.

13.

14.

15.

16.

17.

18.

19.

20.

B: 3, 3, and 9

H

C

G

D

G

B

H

A

H

A

H

A

G

B

G

B

H

C

G

C

4, 4, and 7

H

B

I

A

G

A

H

A

H

D

H

B

Chapter 2 Assessment Answer KeyForm 2A Form 2BPage 104 Page 105 Page 106


An

swer

s

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

11.

12.

13.

14.

15.

16.

17.

18.

19.

20.

B:1, 2, 3, 4, 5, 6, 7, 8, 9Sample answer:

Graph A: inconsistentvertical scale;

Graph B: The vertical scale starts at 9.

Graph A

Graph B

Sample answer: about$300 in August; by

extending the line onthe graph

February

Jan.Fe

b.Mar. Ap

r.May

June Ju

lyAu

g.

150

100

50

200

250

300

350

Tota

l ($)

Month

0

Ella's Savings

86; 87

30

10

Sample answer:mode; yes, because

the mode is at the lowend of the data set

$14; the outlier makes the mean higher.

$49

About twice as manypeople like mushroom

as like onion as apizza topping.

mushroom andsausage

pepperoni

Hattie received twicethe votes Mia did.

TedAliMia

3

4

2

0

1

5

6

7

8

Vote

s

PersonHattie

Best Costume

Ali

Chapter 2 Assessment Answer KeyForm 2CPage 107 Page 108


Votes

Person Tally Frequency

Mia 3 3

Ali 52 7

Ted 4 4Hattie 51 6

Stem Leaf

6789

6 82 3 9 91 5 7 7 70 1 2 5 6

8 | 5 � 85

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

11.

12.

13.

14.

15.

16.

17.

18.

19.

20.

B:1, 2, 3, 4, 5, 6, 7Sample answer:

Graph A: The verticalscale is inconsistent.Graph B: The vertical

scale starts at 6.

Graph B

Graph A

Sample answer: about $250 in August; by

extending the line onthe graph until

reaching a verticalposition of August

April

Jan.Fe

b.Mar. Ap

r.May

June Ju

lyAu

g.

150

100

50

200

250

300

350To

tal (

$)

Month

0

Ebony's Savings

83; 78

30

10

Sample answer:mode; yes, because

the mode is at the lowend of the data set

$8; Since the outlier isgreater than the other

values, the mean isgreater and not veryrepresentative of the

data set.

$33

About twice as manypeople chose cats

as chose monkeys asa favorite animal.

cow and rabbit

dog

Aki received three times more votes than

Miguel did.

TansyAkiMiguel

3

4

2

0

1

5

6

7

8

Vote

s

PersonHanna

Best Costume

Aki

Chapter 2 Assessment Answer KeyForm 2DPage 109 Page 110


Votes

Person Tally Frequency

Miguel 2 2

Aki 51 6

Tansy 52 7Hannah 5 5

Stem Leaf

6789

8 92 8 8 80 2 4 7 7 91 2 5 8

8 | 4 � 84

An

swer

s

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

11.

12.

13.

14.

15.

16.

17.

18.

19.

20.

B: mississippi

The mean, 4, is mostrepresentative of thedata, since the mode and the median are

both to the lower endof the data set.

Sample answer: 68,68, 80, 81, and 98

Oct. Dec. Feb. Apr. June

150

175

Aver

age

per D

ay

Month

0

25

50

75

100

125

Cafeteria Lunches

because the vertical scale isnot consistent

1998

1990

mean, 82; It’s the highest of the

three averages.

13

The mean is themeasure that is most misleading, since it isgreatly increased by

the outlier.

15; 15

43; 16

BethelKingSalmon

NomeBettles

80

40

60

100

0

20

120

140

160

Inch

es

Alaskan City

Yakutat

Annual Precipitation

92%

33%

25%

67%

From the frequencytable you cannot tell

whether anyonescored 110 points.

14

4

Chapter 2 Assessment Answer KeyForm 3Page 111 Page 112


Stem Leaf1112131415

0 80 0 5

5 6 6 6 912 | 0 � 120


Chapter 2 Assessment Answer KeyPage 113, Extended Response Assessment

Scoring Rubric

Level Specific Criteria

4 The student demonstrates a thorough understanding of the mathematicsconcepts and/or procedures embodied in the task. The student hasresponded correctly to the task, used mathematically sound procedures,and provided clear and complete explanations and interpretations. Theresponse may contain minor flaws that do not detract from thedemonstration of a thorough understanding.

3 The student demonstrates an understanding of the mathematics conceptsand/or procedures embodied in the task. The student’s response to thetask is essentially correct with the mathematical procedures used and theexplanations and interpretations provided demonstrating an essential butless than thorough understanding. The response may contain minor errorsthat reflect inattentive execution of the mathematical procedures orindications of some misunderstanding of the underlying mathematicsconcepts and/or procedures.

2 The student has demonstrated only a partial understanding of themathematics concepts and/or procedures embodied in the task. Althoughthe student may have used the correct approach to obtaining a solution ormay have provided a correct solution, the student’s work lacks an essentialunderstanding of the underlying mathematical concepts. The responsecontains errors related to misunderstanding important aspects of the task,misuse of mathematical procedures, or faulty interpretations of results.

1 The student has demonstrated a very limited understanding of themathematics concepts and/or procedures embodied in the task. Thestudent’s response to the task is incomplete and exhibits many flaws.Although the student has addressed some of the conditions of the task, thestudent reached an inadequate conclusion and/or provided reasoning thatwas faulty or incomplete. The response exhibits many errors or may beincomplete.

0 The student has provided a completely incorrect solution oruninterpretable response, or no response at all.

An

swer

s


Chapter 2 Assessment Answer Key Page 113, Extended Response Assessment

Sample Answers

1.

2. a.

b. The scale includes the number ofstudents getting each grade. Theinterval is 2 in order to make all datafit easily on the graph.

c. The graph shows how many studentsgot each grade. It compares thedifferent grades.

d. The number of students with a gradeof A is the same as the number witha grade of D. It is twice as many asthe number of students with grade of F.

e. The interval is inconsistent.

3. a.

b. The scale is 0 to 25. The interval is 5.These were chosen to make thegraph a manageable size.

c. The graph shows the change in salesof bicycles over a few years.

d. The sales went down slightly, wentback up to where they started, thenincreased steadily at the same rate.

e. Bicycles sold should be about 25,000,which can be found by extending theline until reaching a vertical positionof 2003.

f. See students’ work.

4. a.

b. The data is clustered between 66 and 98.

c. mean: 80; median: 82; mode: 82;range: 64

d. 34 is an outlier. Without the outlier,the mean is 82. The outlier bringsthe mean down.

1998

1999

2000

2001

2002

2003

2004

15

10

5

20

25

Num

ber o

f Bic

ycle

s (

thou

sand

s)

Year

0

Bicycle Sales

FCBA

10

6

8

12

0

4

Num

ber o

f Stu

dent

s

GradesD

Students Grades,

FCBA

8

4

6

10

0

2

12

Num

ber o

f Stu

dent

s

GradesD

Students Grades,

In addition to the scoring rubric found on page A28, the following sample answers may be used as guidance in evaluating extended response assessment items.

Students’ Grades

Grade Tally Frequency

A 4 4

B 51 6

C 55 10

D 4 4

F 2 2

Stem Leaf3456789

4

6 82 6 6 6 8 8 80 2 2 2 2 4 4 6 80 2 4 4 8 5|6 � 56

1. median

2. data

3. circle graph

4. interval

5. outliers

6. mode

7. scale

8. line graph

9. stem-and-leaf plot

10. average

11. Sample answer:involves collecting,organizing,analyzing, andpresenting data

12. the sum of thepieces of data in aset divided by thenumber of pieces ofdata

1.

2.

3.

4.

5.

Quiz (Lessons 2-3 and 2-4)

Page 115

1.

2.

3.

4.

5.

1.

2.

3.

4.

5.

Quiz (Lessons 2-7 and 2-8)

Page 116

1.

2.

3.

4.

5. The vertical scale starts at 70 rather

than at 0.

The mean, 72; it islowered by the outlier

Yes, if the median fallsat the lowest end of

the data set.

Yes, since no range isspecified.

C

$10

$14

6

$149

about 20° warmer

In March it was about40° in Denver and

about 65° in Austin.

33%

math and gym

math

Sales increased fromJan. to Apr.,

decreased rapidlyfrom Apr. to May, then

increased from May to June.

5; The numbers in the data set range from 1

to 25

Nearly twice as many students scored a B

as scored an A.

CBA

6

8

4

0

2

10

Stud

ents

GradeD

Students' Math Scores

See students’ work.

Chapter 2 Assessment Answer KeyVocabulary Test/Review Quiz (Lessons 2-1 and 2-2) Quiz (Lessons 2-5 and 2-6)

Page 114 Page 115 Page 116


Stem Leaf6789

6 73 6 6 8 92 2 3 3 40 1 3 8

7|8 � 78

An

swer

s

1.

2.

3.

4.

5.

6.

7.

8.

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

11.

12.

Mode; the mode fallsat the low end of thedata set and is not as representative of thedata as the mean or

median.

58; 66; 22

67

Sample answer: 86

656055

7075808590

Scor

e

Test

0

Lin's Test Scores

1 2 3 4 5 6

Sample answer: Start the vertical scale at

4 instead of 0.

12-1310-118-9

6

8

4

0

2

10

12

Num

ber

Children at the Movie

Age

16 children

134

53; 125

composite

Wyoming has morethan twice as many

wild horses asCalifornia.

California and Utah

College costs increased from 1970

to 2000.

1970

1980

1990

2000

1,500

1,000

500

2,000

2,500

3,000

3,500

4,000

Tuiti

on

Year

0

Tuitions and Fees at 4-year U.S. Colleges and Institutions

H

B

H

B

Chapter 2 Assessment Answer KeyChapter 2 Mid-Chapter Test Chapter 2 Cumulative ReviewPage 117 Page 118


1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

11.

12. 13.

14. a. 15 cm

b. at the end of the sixth month

c. the fifth month

d. Sample answer: At the end ofthe tenth month; by extendingthe graph until reaching ahorizontal position of 26

0 0 0 0 01 1 1 1 12 2 2 2 23 3 3 3 34 4 4 4 45 5 5 5 56 6 6 6 67 7 7 7 78 8 8 8 89 9 9 9 9

42

0 0 0 0 01 1 1 1 12 2 2 2 23 3 3 3 34 4 4 4 45 5 5 5 56 6 6 6 67 7 7 7 78 8 8 8 89 9 9 9 9

6

8 � 8 � 8; 512

0 0 0 0 01 1 1 1 12 2 2 2 23 3 3 3 34 4 4 4 45 5 5 5 56 6 6 6 67 7 7 7 78 8 8 8 89 9 9 9 9

12

DCBA

IHGF

DCBA

IHGF

DCBA

IHGF

DCBA

IHGF

DCBA

Chapter 2 Assessment Answer KeyStandardized Test PracticePage 119 Page 120


An

swer

s

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

11.

12.

13.

14.

15.

16.

17.

18.

19.

20.

21.

22.

23.

24.

25.

26.

27.

28.

29.

30.

31.

32. median; It is closer to more of the data

values.

23

2

4

4

25

7

About twice as manystudents ride with a parent as take the

bus.

ride with parent

Sample answer: $220

May

Apr.

MayJu

ne July

Aug.

150

100

50

200

250

Dolla

rs

Month

0

Eva's Savings

Sample answer: Make the numbers on the

vertical scaleinconsistent.

More than three times as many students got

a B as got a C.

CBA

6

8

4

0

2

10

12

Num

ber

Math Scores

Score

B

432 cm2

1416

415

1511

15; 162; 36

2 � 2 � 3 � 33 � 3 � 7

compositeprime

2 and 4; even

12 laps

Chapter 2 Assessment Answer KeyUnit 1 TestPage 121 Page 122


MathScore Tally Frequency

ABC

52

55

3

7103

Documents

Chapter 2 Resource Masters - Bath County SchoolsPractice: Word Problems Workbook (Spanish) 0-07-860093-6 Reading to Learn Mathematics Workbook 0-07-861057-5 Answers for WorkbooksThe