Upload
ledang
View
218
Download
2
Embed Size (px)
Citation preview
6 th Grade Statistics Chapter Questions
1. How does data help us make decisions?
2. Why are there different ways to display data?
3. What are some of the ways to display data?
4. How can data be used to make predictions?
NJ Center for Teaching and Learning ~ 1 ~ www.njctl.org
Chapter Problems
Measures of Center ClassworkFind the mean, median, and mode for the following data sets.
1) 5.8, 2.9, 6.7, 1.6, 2.9, 4.72) 17, 16, 18, 15, 23) 7, 3, 10, 5, 5, 6, 64) 149, 124, 116, 118, 109, 108, 114, 124, 1095) 22.3, 22.4, 23.3, 24.5, 22.56) 18.99, 17.99, 19.99, 17.99, 17.99, 17.00, 10.997) 750, 850, 700, 650, 4508) 48, 50, 60, 51, 56, 51, 54, 61, 52, 52
HomeworkFind the mean, median, and mode for the following data sets.
9) 92, 86, 90, 72, 95, 100, 90, 5010) 0, 0.3, 0, 0.1, 0, 0.5, 0.2, 0.311) 25, 85, 40, 45, 95, 75, 5512) 118, 116, 130, 106, 116, 146, 143, 129, 12113) 0.95, 1.09, 0.99, 1.25, 0.99, 1.9914) 456, 398, 655, 508, 1,186, 62515) 58, 51, 33, 33, 6, 25, 2516) 14, 15, 14, 16, 17, 14, 13, 15, 17, 14
Central Tendency Application ProblemsClasswork
17) Jordan scored 85, 90, 72, 88, and 92 on his last 5 science tests. What score does he need in order to have a mean score of 85 in his class?
18) Mary and her family share a family data plan for their cell phones. This month her mom used 450, her father used 380, and her little sister used 230 minutes. They want their average number of minutes to be 375 minutes. How many minutes should Mary use?
19) Thomas’s bowling average needs to be at least a 250 in order to make his school’s team. In his last 4 games, he bowled a 243, 271, 218, and 252. What does he need to bowl in his last game in order to make the team?
20) Find the mean, median, and mode of the data set: 59, 85, 61, 88, 95, 75, 55. Identify the values that remain the same if “75” is added to the set.
21) Find the mean, median and mode of the data set: 19, 18, 21, 18, 18, 14. Identify the values that remain the same if “18” is added to the set.
22) Find the mean, median and mode of the data set: 3, 8, 3, 5, 3, 6, 4, 1, 3. Identify the values that remain the same if “2” is added to the set.
Homework23) Tonya bought gifts for her family that cost $25, $14, $33, and $19. She has to buy one more
gift and wants her mean cost to be $25. What should she spend on the last gift?24) Brianna scored 93, 87, 98, 81, 79, and 95 on her last 6 social studies tests. What score does she
need in order to have a mean score of 90?
NJ Center for Teaching and Learning ~ 2 ~ www.njctl.org
25) Jake is training for the 200-meter dash event at the preliminary competition. During his last 4 attempts at practice, he ran it in 22.3 s, 22.4 s, 23.3 s, and 24.5 s. He needs a mean time of 23 seconds in order to qualify for finals. What time does he need for his final attempt?
26) Find the mean, median, and mode of the data set: 51, 43, 37, 39, 6, 30, 25. Identify the values that remain the same if “33” is added to the set.
27) Find the mean, median, and mode of the data set: 2, 3, 1, 3, 1, 6, 4, 4, 3. Identify the values that remain the same if “5” is added to the set.
28) Find the mean, median, and mode of the data set: 20, 21, 21, 18, 22, 20, 25. Identify the values that remain the same if “23” is added to the set.
Measures of Variation – Minimum/Maximum, RangeClassworkFind the minimum, maximum, and range of each of the following data sets.
29) 30, 31, 28, 18, 30, 4, 130) 20, 21, 21, 18, 22, 20, 2531) 204, 138, 177, 218, 195, 249, 155, 10832) 72, 95, 80, 80, 87, 80, 81, 62, 83, 87, 92, 64, 8633) 0.95, 1.09, 0.99, 1.25, 0.99, 1.9934) 456, 398, 655, 508, 1,186, 625
HomeworkFind the minimum, maximum, and range of each of the following data sets.
35) 17, 16, 18, 15, 236) 5.8, 2.9, 6.5, 1.6, 2.9, 4.737) 48, 50, 60, 51, 56, 51, 54, 61, 52, 5238) 149, 124, 116, 118, 109, 108, 114, 124, 10939) 61, 52, 40, 54, 70, 34, 66, 38, 67, 75, 56, 7140) 10.5, 11.6, 9.8, 7.3, 5.6, 12.1, 8.2, 5.7
Measures of Variation – QuartilesClassworkFind the lower quartile (Q1), median (Q2), upper quartile (Q3) and the interquartile range (IQR) of each of the following data sets.
41) 9, 17, 11, 16, 18, 15, 242) 7, 3, 10, 5, 5, 6, 6, 8, 443) 220, 340, 130, 180, 230, 340, 10044) 48, 50, 60, 51, 56, 51, 54, 61, 52, 5245) 149, 124, 116, 118, 109, 108, 114, 124, 10946) 14, 3, 7, 22, 18, 25, 12, 3847) 15, 10, 12, 16, 18, 5, 3, 46, 35, 21, 26
HomeworkFind the lower quartile (Q1), median (Q2), upper quartile (Q3) and the interquartile range (IQR) of each of the following data sets.
48) 52, 41, 33, 39, 6, 30, 2549) 25, 85, 35, 45, 95, 75, 5550) 20, 10, 50, 60, 40, 30, 90, 7051) 118, 112, 130, 106, 116, 146, 143, 129, 134
NJ Center for Teaching and Learning ~ 3 ~ www.njctl.org
52) 150, 132, 116, 118, 109, 108, 114, 12453) 64, 53, 51, 90, 76, 68, 92, 81, 62, 9854) 9, 10, 12, 9, 18, 12, 13, 10, 5, 8, 16, 11
Measures of Variation – OutliersClasswork
55) Which of the following data sets have outlier(s)? Explain how you found your answer.a. 1, 5, 7, 9, 10, 11, 15b. 25, 39, 49, 53, 56, 60c. 18, 19, 20, 24, 30, 60d. 70, 74, 76, 79, 82, 83e. 6, 27, 30, 33, 39, 41, 52
Homework56) Which of the following sets of data have outlier(s)? Explain how you found your answer.
a. 90, 92, 93, 94, 97, 100b. 48, 50, 51, 51, 54, 56, 65c. 4, 20, 27, 28, 33, 34, 37d. 64, 67, 68, 69, 73, 75, 79e. 18, 33, 38, 39, 42, 43, 46
Measures of Variation – Mean Absolute DeviationClassworkFind the mean absolute deviation for each of the following data sets. Round to the nearest hundredth as necessary.
57) 5, 8, 2, 1, 4, 6, 958) 111, 125, 101, 94, 13659) 7, 10, 7, 10, 6, 7, 260) 33, 14, 17, 21, 8, 30, 29, 1561) 20, 10, 50, 60, 40, 30, 90, 7062) 150, 131, 116, 118, 109, 108, 114, 12463) 54, 50, 62, 51, 63, 70, 58, 60, 60, 7064) 19, 21, 24, 18, 20, 20, 19, 17, 20, 23
Homework65) 15, 10, 24, 25, 27, 4066) 11, 10, 12, 9, 18, 1267) 4, 8, 46, 32, 25, 21, 1168) 5, 6, 11, 14, 12, 8, 16, 1869) 220, 340, 120, 180, 230, 340, 100, 7070) 25, 85, 35, 45, 95, 75, 55, 3571) 13, 22, 27, 16, 36, 7, 27, 33, 36, 3672) 6, 7, 2, 9, 6, 0, 20, 10, 16, 18
NJ Center for Teaching and Learning ~ 4 ~ www.njctl.org
Frequency Tables and HistogramsClasswork
73) The following are test grades from your classmates. Organize the data into a frequency table and create a histogram.
100 73 8965 86 7983 95 8396 83 8676 69 8979 74 85
74) The following are times that it took children in gym class to run a mile. Organize this data into a frequency table and create a histogram.
7:23 8:02 10:047:05 7:50 9:246:59 9:01 8:347:25 8:55 6:397:55 11:01 9:288:02 9:54 8:24
75) Organize this data into a histogram.
Length of walk time21 35 4863 67 1119 31 4315 44 3742 34 6967
Time Tally Frequency10-19 III 320-29 I 130-39 IIII 440-49 IIII 450-59 060-69 IIII 4
76)a. How many students scored
below 70?
b. How many students scored a 52?
c. Can you determine the exact value of the test grade that was in the 60’s?
NJ Center for Teaching and Learning ~ 5 ~ www.njctl.org
77) Create a frequency table and a histogram for the data below. Test Scores92 84 7675 85 9767 48 8793 87 8879 68 66100 99 7988 81 8079 99 91
Homework78) The following is test scores from a math test. Organize these scores into a frequency table and
create a histogram.78 97 4999 67 4797 84 7987 86 5197 89 8784 79 7597 84 83
79) The following is temperatures in New Jersey in August. Organize them into a frequency table and create a histogram.
100 102 10597 95 10189 88 9099 95 9389 89 96102 91 9998 92 103108 98 92
80) Organize this data into a histogram.
Length of time walked64 41 3827 11 4833 13 6157 49 3719 69 4534 24 12
Time Tally Frequency10-19 IIII 4
20-29 II 230-39 IIII 440-49 IIII 450-59 I 160-69 III 3
NJ Center for Teaching and Learning ~ 6 ~ www.njctl.org
81) a. How many students scored in the
70’s?
b. How many students scored below 70?
c. How many students scored 90 or above?
82) Create a histogram and a frequency table for the following data. Test Scores
92 97 9897 85 8397 85 8476 79 8999 84 8677 51 8983 97 9278 85 89
Box-and-Whisker PlotsClasswork
83) Use the box-and-whisker plot to find the following:
a. Medianb. Minimumc. Maximumd. Rangee. Lower Quartilef. Upper Quartileg. Interquartile Range
Create a box-and-whisker plot for these data:84) 12, 16, 62, 48, 16, 59, 43, 3985) Test Grades: 78, 82, 65, 46, 84, 99, 100, 90, 75, 59, 75, 79, 80, 86, 6886) $21, $50, $78, $13, $45, $5, $12, $37, $61, $11, $77, $31, $19, $11, $29, $16
NJ Center for Teaching and Learning ~ 7 ~ www.njctl.org
87) The price of tablets in dollars at Laptop World and PC Mall are shown in the box-and-whisker plots below.
a. What percent of tablets at Laptop World cost less than $325?b. What percent of tablets at PC Mall cost less than $940?c. How does the price of tablets at Laptop World compare to the price of computers at PC
Mall?
Homework88) Use the box-and-whisker plot to find the following:
a. Medianb. Minimumc. Maximumd. Rangee. Lower Quartilef. Upper Quartileg. Interquartile Range
Create a box-and-whisker plot for each set of data:89) 30, 57, 34, 40, 32, 52, 54, 48, 5690) Test Grades: 80, 81, 64, 66, 74, 98, 100, 91, 85, 89, 55, 66, 70, 84, 9891) 17, 5, 28, 33, 25, 5, 12, 3, 16, 11, 22, 31, 9, 11
92) The box-and-whisker plot below compares the heights of football players on two different teams.
a. What percent of the Wolverines are 70 inches or taller?b. What percent of the Owls are 75 inches or taller?c. How do the heights of the Wolverines compare to the heights of the Owls?
NJ Center for Teaching and Learning ~ 8 ~ www.njctl.org
Laptop World
PC Mall
Owls
Wolverines
Dot PlotsClassworkMake a line plot for each set of data.
93) 1, 5, 6, 3, 3, 8, 4, 5, 694) 130, 160, 140, 180, 160, 16095) 32, 35, 32, 32, 31, 36, 38, 38, 39
Use the line plot below to answer the following questions. Game Points Earned Per Team
96) What is the median?97) What is the minimum?98) What is the maximum?99) What is the range?100) What is the lower quartile?101) What is the upper quartile?102) What is the interquartile range?103) What percent of the teams scored more than 5 points?104) What is the mode of the data set?
HomeworkMake a line plot for each set of data.
105) 30, 25, 60, 45, 60, 25, 45106) 2, 6, 5, 8, 6, 6, 3, 1, 1, 9, 4107) 82, 86, 85, 95, 84, 96, 95, 84
Use the line plot below to answer the following questions.Math Test Scores
108) What is the median?109) What is the minimum?110) What is the maximum?111) What is the lower quartile?112) What is the upper quartile?
NJ Center for Teaching and Learning ~ 9 ~ www.njctl.org
113) What is the interquartile range?114) What percent of the students scored higher than 95%?115) What is the mode of the test scores?116) What is the mean of the test scores? (Round to the nearest tenths)
Analyzing Data DisplaysClassworkUse the histogram below to answer the following questions. Explain your answers.
117) Which measure(s) of center appropriately represents the data? Why?a. Meanb. Medianc. Mode
118) Can you determine if the mean or median is greater? If yes, which is greater and why? If not, why are you unable to determine the greater value?
119) What would need to happen in order for the mean and median to be closer in value?
Use the box-and-whisker plot to answer the following questions. Explain your answers.Town Populations in Montana
120) Would the mean or the median represent the data more appropriately in this data set? Why?121) Is the mean or the median greater? Why?122) What do you notice about the town populations in the upper half of the data?
NJ Center for Teaching and Learning ~ 10 ~ www.njctl.org
HomeworkUse the histogram below to answer the following questions. Explain your answers.
123) Which measure(s) of center appropriately represents the data? Why?a. Meanb. Medianc. Mode
124) Can you determine if the mean or median is greater? If yes, which is greater and why? If not, why are you unable to determine the greater value?
125) What would need to happen in order the mean and median to be closer in value?
Use the box-and-whisker plot to answer the following questions. Explain your answers.Boxes of Cookies Sold (Per Student)
126) What is the median?127) What is the range?128) Would the mean or the median represent the data more appropriately in this data set? Why?129) Is the mean or the median greater? Why?130) What do you notice about the number of boxes sold in the lower half of the data?
NJ Center for Teaching and Learning ~ 11 ~ www.njctl.org
Chapter Review Multiple Choice Choose the correct answer for each question. No partial credit will be given.
1. Consider the data set: 78, 81, 100, 69, 97, 81, 86
Select the measure of central tendency that has the greatest value.
a. 56
56
Median b. Mean c. Mode
2. Consider the data set: 55, 79, 90, 81, 90, 70, 65
Select the statement that is false
a. Mode: 90; Median: 79
b. Median: 79; Range: 45
c. Mean: 75.7; Range: 35
d. Mean: 75.7; Median: 79
3. Sam has the following test grades: 85, 98, 79
What must Sam score on the one remaining test if he wants his test average to be an 88?
a. 87 b. 88 c. 89 d. 90
4. Use the frequency table to determine the number of people that had at least 40 hours of sleep in a work week.
a. 3 b. 4 c. 7 d. 16
NJ Center for Teaching and Learning ~ 12 ~ www.njctl.org
Hours of sleep during a work week
5. Use the histogram above to determine the total number of dogs that are owned by classmates.
a. 15 b. 60 c. 65 d. 70
6. Find the lower quartile (Q1), median (Q2), and upper quartile (Q3) for the given data set.
82, 94, 100, 86, 68, 89, 78, 84
a. Q1: 78; Q2: 84; Q3: 91.5
b. Q1: 82; Q2: 85; Q3: 91.5
c. Q1: 80; Q2: 85; Q3: 94
d. Q1: 80; Q2: 85; Q3: 91.5
7. Use the box and whisker plot to determine the false statement.
50% of the data lies:
a. between 105 and 132
b. between 87 and 122
c. between 122 and 147
d. between 122 and 132
NJ Center for Teaching and Learning ~ 13 ~ www.njctl.org
Poodle Collie Springer Yorkie German Shepard
Terrier Mixed0
2
4
6
8
10
12
14
16
Types of Dogs Owned by Classmates
Number of
Classmates
8. Use the box and whisker plot to determine the median
a. 30 b. 105 c. 122 d. 135
Use the Histogram to answer questions #9 and #10.
9. How many students have grades below 70?
a. 2 b. 4 c. 6 d. 7
NJ Center for Teaching and Learning ~ 14 ~ www.njctl.org
Number
Of
Students
6th Period Math Students’ Test Grades
10. How many students are in this class?
a. 13
b. 14
c. 15
d. 16
11. Identify the data set that contains at least one outlier.
a. 5, 20, 22, 30, 18, 14
b. 34, 48, 65, 72, 81, 67, 37
c. 45, 31, 32, 51, 55, 53, 48
d. 2, 5, 8, 10, 1, 12, 9, 13, 13,
12. Find the mean absolute deviation, rounded to the nearest hundredth, for the given data set.
20, 45, 52, 60, 19, 34, 42
a.33.86 b. 12.45 c. 87.14 d. 12.48
13. Mary paired one word to each measure of central tendency. Identify the most accurate pairing.
a. mean – average; mode – middle; median - oftenb. mean – often; mode – middle; median - averagec. mean – average; mode – often; median - middled. mean – middle; mode – often; median - average
Short Constructed Response – Write the correct answer for each question. No partial credit will be given.
14. Determine the mean, median and mode for the data set. Round your answers to the nearest hundredth if necessary.
86, 88, 89, 78, 56, 80, 65
NJ Center for Teaching and Learning ~ 15 ~ www.njctl.org
15. Using the test scores from question #14, determine the score that Sal must obtain on his next test to have a 78 average?
16. Organize the data into a histogram.
Grade TallyFrequenc
y50-59 ІІlll 560-69 ІІ 270-79 080-89 llll 4
17. Make a line plot for the set of data.
20, 21, 23, 21, 22, 27, 28, 29, 23, 24, 21, 20, 22, 25, 27, 29
Extended Constructed Response
18.
86 89 68
100
79 68
87 88 89
90 80 68
68 98 88
NJ Center for Teaching and Learning ~ 16 ~ www.njctl.org
a. Create a Box and whisker plot
b. Explain the five values identified on the Box and Whisker Plot.
c. Use the given data to create one other type of graph learned in this unit.
19. Find the measures of variability for the data set below. Round to the nearest hundredth if necessary.
131, 145, 67, 89, 127, 156, 189
a. Find the range.
b. Find the interquartile range.
c. Find the mean absolute deviation.
20. The following data set lists the average daily temperatures for ten days in October.
43, 75, 56, 61, 52, 69, 64, 46, 54, 47
a. Create a frequency table.
b. Use the frequency table to create a histogram.
c. What is the overall pattern of the histogram?
NJ Center for Teaching and Learning ~ 17 ~ www.njctl.org
Answer Key1) Mean: 4.1
Median: 3.8Mode: 2.9
2) Mean: 13.6Median: 16Mode: No mode
3) Mean: 6Median: 6Mode: 5 and 6
4) Mean: 119Median: 116Mode: 109 and 124
5) Mean: 23Median: 22.5Mode: No mode
6) Mean: 17.28Median: 17.99Mode: 17.99
7) Mean: 680Median: 700Mode: No mode
8) Mean: 53.5Median: 52Mode: 51 and 52
9) Mean: 84.375Median: 90Mode: 90
10) Mean: 0.175Median: 0.15Mode: 0
11) Mean: 60Median: 55Mode: No mode
12) Mean: 125Median: 121Mode: 116
13) Mean: 1.21Median: 1.04Mode: 0.99
14) Mean: 638Median: 566.5Mode: No mode
15) Mean: 33Median: 33Mode: 25 and 33
16) Mean: 14.9Median: 14.5
Mode: 1417) 8318) 440 minutes19) 26620) Median21) Mean, Median, and Mode22) Median and Mode23) $3424) 9725) 22.5 s26) Mean =33
Median = 37Mode = no modeAdd 33 to numbers:Mean = 33, the sameMedian = 35, differentMode = no mode, the same
27) Median and Mode28) Median & Mode29) Minimum: 1
Maximum: 31Range: 30
30) Minimum: 18Maximum: 25Range: 7
31) Minimum: 108Maximum: 249Range: 141
32) Minimum: 62Maximum: 95Range: 33
33) Minimum: 0.95Maximum: 1.99Range: 1.04
34) Minimum: 398Maximum: 1,186Range: 788
35) Minimum: 2Maximum: 18Range: 16
36) Minimum: 1.6Maximum: 6.5Range: 4.9
37) Minimum: 48Maximum: 61Range: 13
38) Minimum: 108Maximum: 149
NJ Center for Teaching and Learning ~ 18 ~ www.njctl.org
Range: 4139) Minimum: 34
Maximum: 75Range: 41
40) Minimum: 5.6Maximum: 12.1Range: 6.5
41) Q1: 9Q2: 15Q3: 17IQR: 8
42) Q1: 4.5Q2: 6Q3: 7.5IQR: 3
43) Q1: 130Q2: 220Q3: 340IQR: 210
44) Q1: 51Q2: 52Q3: 56IQR: 5
45) Q1: 109Q2: 116Q3: 124IQR: 15
46) Q1: 9.5Q2: 16Q3: 23.5IQR: 14
47) Q1: 10Q2: 16Q3: 26IQR: 16
48) Q1: 25Q2: 33Q3: 41IQR: 16
49) Q1: 35Q2: 55
Q3: 85IQR: 50
50) Q1: 25Q2: 45Q3: 65IQR: 40
51) Q1: 114Q2: 129Q3: 138.5IQR: 24.5
52) Q1: 111.5Q2: 117Q3: 128IQR: 16.5
53) Q1: 62Q2: 72Q3: 90IQR: 28
54) Q1: 9Q2: 10.5Q3: 12.5IQR: 3.5
55) C, E56) B, E57) 2.2958) 13.6859) 1.7160) 7.3861) 21.2562) 10.3163) 5.2464) 1.5465) 7.3366) 267) 11.4368) 3.7569) 7070) 21.5671) 8.6472) 5.28
NJ Center for Teaching and Learning ~ 19 ~ www.njctl.org
73) Test GradesGrades Tally Frequency61-70 271-80 581-90 891-100 3
Test Grades1086420
61-70 71-80 81-90 91-100
74) One-Mile Run TimeTimes Tally Frequency6:01-7:00 27:01-8:00 58:01-9:00 59:01-10:00 410:01-11:00 111:01-12:00 1
One-Mile Run Times6543210
6:01- 7:01- 8:01- 9:01- 10:01- 11:01-7:00 8:00 9:00 10:00 11:00 12:00
75) Walk Times543210
10-19 20-29 30-39 40-49 50-59 60-69
NJ Center for Teaching and Learning ~ 20 ~ www.njctl.org
76) a. 2b. 0 c. No, cannot determine from the graph.
77) Test ScoresScores Tally Frequency41-50 151-60 061-70 371-80 681-90 791-100 7
Test Scores
1086420
41-50 51-60 61-70 71-80 81-90 91-10078) Test Scores
Scores Tally Frequency40-49 250-59 160-69 170-79 480-89 890-99 5
Test Scores
1086420
40-49 50-59 60-69 70-79 80-89 90-99
NJ Center for Teaching and Learning ~ 21 ~ www.njctl.org
79) August Temperatures in NJTemperatures Tally Frequency86-90 591-95 696-100 7101-105 5106-110 1
August Temperatures in NJ
876543210 86-90 91-95 96-100 101-105 106-110
80) Walk Times
543210
10-19 20-29 30-39 40-49 50-59 60-6981)
a. 4 b. 3 c. 282) Test Scores
Scores Tally Frequency50-59 160-69 070-79 480-89 1190-99 8 Test Scores121086420
50-59 60-69 70-79 80-89 90-99
NJ Center for Teaching and Learning ~ 22 ~ www.njctl.org
83) a. 95b. 85c. 130d. 45e. 90f. 120g. 30
84) Minimum: 12Q1: 16Q2:41Q3:53.5Maximum: 62
85) Minimum: 46Q1: 68Q2: 79Q3: 86Maximum: 100
86) Minimum: 5Q1: 12Q2: 25Q3: 50Maximum: 78
87) a. 25%b. 75%c. Answers will vary. The price of tablets is generally cheaper at Laptop World.
88)a. 77b. 62c. 95d. 33e. 69f. 85g. 16
89) Minimum: 30Q1: 33Q2: 48Q3: 55Maximum: 57
NJ Center for Teaching and Learning ~ 23 ~ www.njctl.org
90) Minimum: 55Q1:66Q2: 81Q3: 91Maximum: 100
91) Minimum: 3Q1: 7Q2: 14Q3: 26.5Maximum: 33
92) a. 75%b. 50%c. Answers will vary. The Wolverines have a larger range of heights than the Owls.
93) x x x
x x x x x x
1 2 3 4 5 6 7 8 9 10
94) xx
x x x x
130 140 150 160 170 180
95) xx x
x x x x x x
31 32 33 34 35 36 37 38 39 40
96) 897) 098) 10
99) 10100) 5.5101) 8.5
NJ Center for Teaching and Learning ~ 24 ~ www.njctl.org
102) 3103) 75%104) 8105)
x x xx x x x
25 30 35 40 45 50 55 60
106) x
x xx x x x x x x x
1 2 3 4 5 6 7 8 9 10
107) x x
x x x x x x
80 82 84 86 88 90 92 94 96 98
108) 91109) 88110) 98111) 89112) 95113) 6114) 33%115) 89%116) 92.2%117) B, C118) Yes, Median119) Answers will vary. The data ranges
from 30-99. The lower grades bring down the mean. If the 30 grade was removed from the data set, the mean would be closer to the median.
120) Mean121) Mean122) Answers will vary. The upper half of
the data has a higher range of data values than the lower half.
123) A, B, C124) Yes, Median
125) Answers will vary. Remove the low 40-49 grades from the data set.
126) 95127) 45128) Mean129) Mean130) There were less sold. The data values
were closer in value and did not vary as much as the upper half of the data.
Unit Review1. B2. B3. D4. C5. B6. D7. D8. C9. D10. C11. A12. B13. C14. MEAN: 77.43
NJ Center for Teaching and Learning ~ 25 ~ www.njctl.org
MEDIAN: 80MODE: NO MODE
15. 82
16.
17. 50 - 59 60-69 70-79 80-890
1
2
3
4
5
6
5
2
0
4
GRADES
GRADES
18. X X X X X X X X X X X X X X X X
20 21 22 23 24 25 26 27 28 29
18.B. See data above. Also, range: 32, IQR: 21
C. Answers will vary.
NJ Center for Teaching and Learning ~ 26 ~ www.njctl.org
19. a. Range= 122
b. Interquartile Range= 67
c. Mean Absolute Deviation= 29.84
20. a. Temperatures in October
Temperature Tally Frequency40-49 350-59 360-69 370-79 1
b. Temperatures in October
40-49 50-59 60-69 70-790
0.5
1
1.5
2
2.5
3
3.5
c. Answers will vary. Most of the temperatures were concentrated between 40-69 degrees.
NJ Center for Teaching and Learning ~ 27 ~ www.njctl.org