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Chapter 15 Assessments • 1289

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Pre-Test

Name ________________________________________________________ Date _________________________

1. Consider the following data sets.

Set 1: 0, 10, 25, 40, 40

Set 2: 10, 20, 25, 30, 50

a. Plot the data sets on the two separate line plots shown.

0 10 20 30 40 50

Set 1 0 10 20 30 40 50

Set 2

b. Calculate the median for each set.

c. Estimate the mean for each data set. Check your answers by calculating the mean.

d. What do you notice about the medians of the two sets of data?

e. What do you notice about the means of the two sets of data?

2. Carol asked a random sample of 10 seventh grade student athletes and 10 seventh

grade students who are not athletes how much time, in minutes, they spend studying each

weeknight. She recorded her results in the table.

Student Athletes Not Student Athletes

100 60 20 100 140 60 120 40 80 110 100 130 120 40 110 60 30 80 60 120

1290 • Chapter 15 Assessments

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Pre-Test page 2

a. Construct dot plots for each group using the same intervals.

b. Calculate the mean and median data values for each sample.

c. When comparing the two samples, what conclusions can you draw about which group

spends more time studying each weeknight?

3. Coach Evans recorded the height, in inches, of each player on his two teams. The results

are shown.

Team 1 Team 2

57, 64, 60, 60, 52, 59, 61, 63, 59 61, 57, 63, 62, 60, 64, 60, 62, 63

Calculate and interpret the IQRs of the heights for each team.


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Post-Test

Name ________________________________________________________ Date _________________________


Set 1: 5, 10, 10, 30, 50

Set 2: 0, 15, 20, 20, 40


0 10 20 30 40 50

Set 1 0 10 20 30 40 50

Set 2





2. Chris asked a random sample of 10 seventh grade boys and 10 seventh grade girls how much

time, in minutes, they spend exercising each day. He recorded his results in the table.

Boys Girls

60 10 30 80 120 90 60 90 0 50 50 90 0 40 90 60 70 20 100 70


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Post-Test page 2


b. Calculate the mean and median data values for each sample.

c. When comparing the two samples, what conclusions can you draw about which

group spends more time exercising each day?

3. Mr. Norris recorded the number of pounds of plastic bottles each team of volunteers collected

during the morning and afternoon clean-up sessions. The results are shown.

Morning Session Afternoon Session

47, 64, 33, 57, 26, 72, 49, 68, 54 71, 60, 55, 46, 59, 64, 32, 44, 50

Calculate and interpret the IQRs of the number of pounds of plastic collected in each session.


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EndofChapterTest

Name ________________________________________________________ Date _________________________


Set 1: 20, 25, 25, 40, 40

Set 2: 15, 20, 25, 30, 50


0 10 20 30 40 50

Set 1 0 10 20 30 40 50

Set 2






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2. Joan asked a random sample of 10 seventh grade girls and 10 seventh grade boys how

much time, in minutes, they spend on social network sites each day. She recorded her results in

the table.

Girls Boys

45 75 0 30 120 90 60 15 30 60 45 75 60 105 15 30 15 0 45 30


b. Describe the distribution for the girls. Describe any clusters or gaps of the data values.

c. Describe the distribution for the boys. Describe any clusters or gaps of the data values.

d. Estimate the mean data values for each dot plot. Explain how you determined your answer.

EndofChapterTest page 2


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Name ________________________________________________________ Date _________________________

e. Calculate the mean data values for each sample.

f. When comparing the two samples, do girls or boys spend more time on social networking

sites each day?

3. Mr. Williams recorded the time, in minutes, he spends talking on the phone each day for two

weeks. The results are shown.

Week 1 Week 2

57, 123, 90, 138, 101, 35, 64 160, 45, 98, 115, 124, 25, 63

a. Calculate the range of talk times for each week.

b. Calculate and interpret the quartiles for each set of data.


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c. Calculate and interpret the IQR for the talk times for each week.

d. Construct box-and-whisker plots for the talk times for each week. Use the same number

line for each box-and-whisker plot and place one on top of the other.


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StandardizedTestPractice

Name ________________________________________________________ Date _________________________

1. Eva gathered samples for the average monthly temperatures of two cities and calculated

the five number summaries. What conclusion can she make?

City A City B

Minimum: 32 37

Q1: 45 48

Median: 60 61

Q3: 72 75

Maximum: 91 86

a. About 50% of the sample temperatures for City A are between 32 and 45 degrees while

about 50% of the sample temperatures for City B are between 37 and 48 degrees.

b. About 50% of the sample temperatures for City A are between 45 and 72 degrees while

about 50% of the sample temperatures for City B are between 48 and 75 degrees.

c. The range for City A is the same as the range for City B.

d. The IQR is greater for City A than for City B.

2. Two sets of data are graphed on the line plot. What observation can you make about

the two data sets?

0 10 20 30 40 50 60 70

a. Both have the same spread.

b. Both have a mean of 40.

c. Both have a minimum of 10.

d. Both have a maximum of 70.


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StandardizedTestPractice page 2

3. Sam surveys the entire student body at his middle school to compare how many minutes

each day students spend listening to music on the radio and how many minutes each day

they spend listening to MP3 files they have downloaded. He then uses a random number

table to select 10 students from each group and displays the results on the dot plots shown.

Which describes the distribution for each graph?

0 20 40 60 80 100 120 180140 160

Minutes Spent Listening to Radio

0 20 40 60 80 100 120 180140 160

Minutes Spent Listening to MP3s

a. The graph for listening to the radio seems to be symmetric, while the graph for

listening to MP3 files seems to be skewed to the right.

b. The graph for listening to the radio seems to be skewed to the right, while the graph

for listening to MP3 files seems to be symmetric.

c. Both graphs seem to be symmetric.

d. Both graphs seems to be skewed to the right.

4. In which context would the median be a better measure of center than the mean for

two data sets?

a. when there is a lot of data for both data sets

b. when the median and the mean are the same for both data sets

c. when the data sets include extreme values

d. when both data sets are symmetrical


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Name ________________________________________________________ Date _________________________

5. Which stem-and-leaf plot represents the data sets shown?

Set A Set B

67 72

71 68

84 85

62 76

56 76

a.

6 5

2 7 6

1 7

4 8

8

2 6 6

5

Set A Set B

6 5 = 65

b.

6 5

2 7 6

1 7

4 8 8

8

2 6

5

Set A Set B

6 5 = 65

c.

5

8 6

2 6 6 7

9 8

6

2 7

1

4

Set A Set B

6 5 = 65

d.

6 5

2 7 6

1 7

4 8

8

2 6 6

Set A Set B

6 5 = 65


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6. Ali asked a random sample of 10 seventh grade boys and 10 seventh grade girls how to

spell 10 commonly misspelled words. She recorded whether they spelled each word correctly

or not and then recorded the data in a line plot. How does the IQR for the boys compare to

the IQR for the girls?

0 1 2 3 4 5 6 1097 8 0 1 2 3 4 5 6 1097 8

Number of Words Spelled Correctly by Boys Number of Words Spelled Correctly by Girls

a. The IQR for boys is 1 word greater than the IQR for girls.

b. The IQR for boys is 2 words greater than the IQR for girls.

c. The IQR for boys is 1 word less than the IQR for girls.

d. The IQR for boys and the IQR for girls are both equal to 2.

7. Gigi surveys her seventh grade class to compare the number of hours boys and girls sleep

each night. The results are displayed in the line plot. An “o” represents a boy and an “x”

represents a girl. What conclusion can you draw about the mean absolute deviations for the

boys and the girls?

4 5 6 7 8 9 10 1211

Hours of Sleep

a. The mean absolute deviation is greater for the boys than the girls.

b. The mean absolute deviation is greater for the girls than the boys.

c. The mean absolute deviations are equal.

d. No conclusion can be drawn.

8. Mr. Adams asked two random groups of 20 students each how many minutes they spent

playing video games last night. The IQR for Group A was 30 minutes and the IQR for

Group B was 45 minutes. What can you conclude about the data Mr. Adams collected?

a. The data for Group A is more spread out than the data for Group B.

b. The data for Group B is more spread out than the data for Group A.

c. The maximum is greater for Group A than for Group B.

d. The maximum is greater for Group B than for Group A.



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9. The stem-and-leaf plot shows how many pages a random sample of boys and girls read

each week. What is the median for each data set?

2 5

4 7 7 6

5 6 8 9 7

4 8

0

3 5 6 9

0 1 1 3

Boys Girls

2 5 = 25

a. The median for boys is 57 and the median for girls is 75.

b. The median for boys is 57 and the median for girls is 67.

c. The median for boys is 75 and the median for girls is 79.

d. The median for boys is 75 and the median for girls is 75.

10. Ray surveys his seventh grade class to compare the height, in inches, of boys and girls.

The results are displayed in the stem-and-leaf plot. Which statement accurately compares

the medians?

9 5

6 3 4 6 7 8 8 9 6

0 1 7

6 8

0 1 2 3 4 5 5 6 8

Boys Girls

9 5 = 95

a. The median for boys is 2 inches greater than the median for girls.

b. The median for boys is 4 inches greater than the median for girls.

c. The median for girls is 2 inches greater than the median for boys.

d. The median for girls is 3 inches greater than the median for boys.


Name ________________________________________________________ Date _________________________


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11. George gathered samples for the average monthly precipitation, in inches, for two cities and

recorded the results in the box-and-whisker plots shown. What conclusion can you make

from the box-and-whisker plots?

Average Monthly Precipitation

1 2 3 4

City B

50

City A

a. The median amount of precipitation for City A is greater than the median for City B.

b. The median amount of precipitation for City A is less than the median for City B.

c. The amount of precipitation in City B is more spread out than in City A.

d. The amount of precipitation in City A is more spread out than in City B.

12. Debbie asked a random sample of 10 seventh graders on a sports team and 10 seventh

graders not on a sports team how many minutes they spend watching TV each day. Then

she plotted the data. What conclusion can you draw about the mean number of minutes

students on a sports team spend watching TV compared to the mean number of minutes

students not on a sports team spend watching TV?

0 20 40 60 80 100 120 200180140 160 0 20 40 60 80 100 120 200180140 160

Daily TV Viewing by Students on a Sports Team

Daily TV Viewing by Studentsnot on a Sports Team

a. The mean number of minutes watching TV is greater for students on a sports team.

b. The mean number of minutes watching TV is less for students on a sports team.

c. The means are equal.

d. No conclusion can be drawn.


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13. Which can be determined for two populations from a dot plot?

a. mean

b. spread

c. minimum

d. all of the above

14. A sample of seventh and eight grade students were asked how many minutes they spent

online last night. The results were recorded in the box-and-whisker plots shown. What can

you conclude?

7th Grade Students

30 60 90 1200

8th Grade Students

30 60 90 1200

a. Eight grade students have more variation in the amount of time spent online last night.

b. Seventh grade students have more variation in the amount of time spent online last night.

c. The sample size of seventh grade students is less than the sample size of eighth grade

students.

d. The sample sizes are equal.

15. The stem-and-leaf plot shows the wait time for customer service assistance at two cell phone

companies. How do the medians compare for the two companies?

4 1 0

1 2 1

2 1 1 0 2

5 5 7 8 8 9

4 6

Company A Company B

2 5 = 25

a. The medians are the same.

b. Company A’s median is greater than Company B’s median.

c. Company B’s median is greater than Company A’s median.

d. Neither Company A nor Company B has a median.


Name ________________________________________________________ Date _________________________


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16. Which describes the distributions of the stem-and-leaf plot shown?

4 3 3 0

7 6 6 5 4 1 1 2 2

A B

8 6 2

1 3

4

7 8

0 1

3 4 5 5 6

2 3 = 23

a. Plot A is skewed left and plot B is skewed right.

b. Plot B is skewed left and plot A is skewed right.

c. Both plots are skewed right.

d. Both plots are skewed left.

17. Mrs. Jones recorded the time, in minutes, she spends reading each day for two weeks. The results

are shown. What is the IQR for each week?

Week 1 Week 2

81 50 63 58 39 72 104 62 54 110 72 68 34 79

a. The IQR for Week 1 is 65, and the IQR for Week 2 is 76.

b. The IQR for Week 1 is 63, and the IQR for Week 2 is 68.

c. The IQR for Week 1 is 50, and the IQR for Week 2 is 54.

d. The IQR for Week 1 is 31, and the IQR for Week 2 is 25.


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Name ________________________________________________________ Date _________________________

18. Jamika wanted to determine whether 7th grade boys or girls can swim faster. She decided to do

an experiment where she randomly selected 9 boys and 9 girls to swim one lap. She recorded the

time, in seconds, of each swimmer and then plotted the results of her survey.

24 28 32 36 40 44 48 52 56 60

Time (in seconds)

Girls

24 28 32 36 40 44 48 52 56 60

Time (in seconds)

Boys

How do the means compare between the girls and the boys?

a. the means are the same

b. the girls’ mean is less than the boys’ mean

c. the girls’ mean is greater than the boys’ mean

d. neither the girls’ data nor the boys’ data has a mean

19. What can be used to show the differences in variation for two populations that have equivalent

measures of center?

a. minimum

b. maximum

c. median

d. mean absolute variation

20. Robert recorded the time, in minutes, he spent studying each day for two weeks. What is

the range for each week?

Week 1 Week 2

106 125 98 96 110 103 117 104 100 88 107 101 98 108

a. The range for Week 1 is 7 minutes and the range for Week 2 is 12 minutes.

b. The range for Week 1 is 29 minutes and the range for Week 2 is 12 minutes.

c. The range for Week 1 is 7 minutes and the range for Week 2 is 20 minutes.

d. The range for Week 1 is 29 minutes and the range for Week 2 is 20 minutes.

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