Green resources 10_03

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347

Activity

10.3 Start Thinking! For use before Activity 10.3

Activity

10.3 Warm Up For use before Activity 10.3

What are some similarities and differences of a bar graph and a histogram?

Use the stem-and-leaf plot.

1. How many data values are in the set?

2. What is the least value? greatest value?

3. What is the median? range?

4. Is the value 24 in the set? Explain.

Stem Leaf 0 3 5 6 1 2 2 2 5 7 8 3 0 3 7 9 9

Key: 2|2 = 22

Big Ideas Math Green Copyright © Big Ideas Learning, LLC Resources by Chapter All rights reserved. 348

Lesson

10.3 Start Thinking! For use before Lesson 10.3

Lesson

10.3 Warm Up For use before Lesson 10.3

What does it mean for a data set to have a skewed distribution?

Make a dot plot of the data. In your own words, how would you describe the shape of distribution?

Ride Tickets Sold 35 29 30 33 27

28 25 29 30 30

31 31 30 32 30


349

10.3 Practice A

Name _________________________________________________________ Date __________

Make a dot plot of the data. In your own words, how would you describe the shape of the distribution?

1. 2.

Describe the shape of each distribution.

3. 4.

5. The frequency table shows the ages of the members of two local fitness clubs.

a. Display the data for each fitness club in a histogram. Describe the shape of each distribution.

b. Which fitness club would appeal more to a young adult? Explain.

Cups of Water Per Day

8 6 9 6 8 8 8 10 7 8

7 9 8 10 7 9 5 8 11 8

Pairs of Shoes Worn Per Day

1 1 1 3 2 2 1 2 1 3 4

2 1 1 2 3 1 1 2 4 2 2

0 1 2 43 5Inches

Inches of Rainfall

10

20

30

40

50

60

00–19 20–39 40–59 60–79 80–99

Houses

Freq

uen

cy

Houses on Paper Routes

Ages of Members 18–25 26–33 34–41 42–49 50–57 58–65

Frequency for Fitness Club A 14 19 13 8 6 3

Frequency for Fitness Club B 4 9 12 13 8 5


10.3 Practice B

Name _________________________________________________________ Date _________

Describe the shape of each distribution.

1. 2.

3. The frequency table shows the numbers of books read this month for the students in your class and the students in your friend’s class.

a. Display the data for each class in a dot plot. Describe the shape of each distribution.

b. Which class read more books? Explain.

c. Which class has a greater mean? Explain.

d. Which class has a lesser mode? Explain.

4. The table shows the number of videos rented each day.

a. Make a histogram of the data starting with the interval 10–19. Describe the shape of the distribution.

b. During the following week, the number of video rentals were: 25, 37, 38, 31, 22, 35, 24. Make a new histogram including the new video rental data.

c. Describe the shape of the new distribution.

0 1 2 43 5 6RBIs

Runs Batted In

10

20

30

40

50

60

00–19 20–39 40–59 60–79 80–99

Points

Freq

uen

cy

Test Scores

Number of Books Read This Month 0 1 2 3 4 5

Your Class 0 3 6 8 7 6

Your Friend’s Class 6 10 7 5 1 1

Videos Rented

54 61 43 48 14 21 51 42 35

36 52 29 17 65 43 59 24 48

42 62 36 29 19 58 51 47 42


351

10.3 Enrichment and Extension

Name _________________________________________________________ Date __________

Using Scatter Plots A scatter plot displays two sets of data to determine if there is a relationship between the data. If the data appear to be increasing from left to right, there is a positive correlation. If the data appear to be decreasing from left to right, there is a negative correlation. If the data are neither increasing nor decreasing, there is no correlation.

Example: Create a scatter plot from the data and determine if there is a positive correlation, negative correlation, or no correlation.

The data appear to be increasing from left to right, so there is a positive correlation.

Using the data in the table, create a scatter plot. Then determine if there is a positive correlation, negative correlation, or no correlation.

1.

2.

3.

4.

Determine if the data collected would be most likely to result in a positive correlation, negative correlation, or no correlation. Explain.

5. The amount of television you watch and your grade in math class.

6. The number of songs on your MP3 player and the number of times you brush your teeth every day.

Height (in.) 68 71 78 73 70

Weight (lb) 156 219 241 194 176

Hours Studying 1 3 0.5 2 1

Test Score 52 88 48 78 63

Month April May June July

Rainfall (in.) 6.1 7.9 3.9 6.9

Temperature °( F) 74 86 62 85

Popsicles Sold 215 325 185 332

Shoe Size 6 8 15 4 7

Favorite Number 12 30 1 0 99

68 70 72 74 76 78

250

225

200

175

150

Height (in.)

Wei

gh

t (l

b)


Puzzle Time

Name _________________________________________________________ Date _________

Have You Heard The Joke About The Jump Rope? Write the letter of each answer in the box containing the exercise number.

Make a dot plot of the data. Describe the shape of the distribution.

1.

H. Skewed left I. Symmetric J. Skewed Right

2.

G. Skewed left H. Symmetric I. Skewed Right

3.

R. Skewed left S. Symmetric T. Skewed Right

4.

T. Skewed left U. Symmetric V. Skewed Right

5.

N. Skewed left O. Symmetric P. Skewed Right

6. Display the data in a histogram. Describe the shape of the distribution.

K. Skewed left L. Symmetric M. Skewed Right

10.3

Ages of Concert Band Members

14 13 12 16 15 13 14 11 13 15 16 14 17 15 14 12

Number of Study Halls Per Week

1 3 1 2 1 2 0 3 4 2 0 2 6 1 4 1 5 2 1 3

Number of Siblings

5 5 5 6 1 4 2 4 2 3 4 3 4 3 6 7

Heights of Sixth Graders (inches)

61 59 60 63 59 61 62 57 61 60 58 60 58 60 60 59 61 61

Number of Blocks Students Walk to School

2 1 6 4 2 5 1 3 1 2 2 1 3 2 0 4 3 1 0 1

Ages 1–9 10–19 20–29 30–39 40–49 50–59 60–69

Frequency 1 2 2 4 5 6 2

3 6 2 5 1 4

Documents

Green resources 10_03