AnswersGrade 7 MathematicsComparing Box Plots

Comparing Box Plots — Quiz Answers

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1
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Which statement describes the symmetry of the data in the two box plots?

A
The data in country A are more symmetric than the data in country B.
B
The data in country B are more symmetric than the data in country A.
C
The data in both countries have about the same symmetry.
D
The symmetry of the data cannot be determined by looking at the box plots.
2
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Which statement compares the median speeds for the data in the two box plots?

A
The median speed in both races is about 165 miles per hour.
B
The median speed in race A is about 142 miles per hour, and the median speed in race B is about 140 miles per hour.
C
The median speed in race A is about 153 miles per hour, and the median speed in race B is about 145 miles per hour.
D
The median speed in race A is about 120 miles per hour, and the median speed in race B is about 125 miles per hour.
3

Lauren determined that the difference in the medians is greater than the difference in the interquartile ranges. Which explains Lauren’s error?

A
Lauren made her first error in step 3 because she should have used 85 minus 60 is equal to 25 for chemistry and 80 minus 60 is equal to 20 for biology.
B
Lauren made her first error in step 1 because the median is 60 for chemistry and 60 for biology.
C
Lauren made her first error in step 1 because the median is 85 for chemistry and 80 for biology.
D
Lauren made her first error in step 3 because she should have used 90 minus 55 is equal to 35 for chemistry and 90 minus 50 is equal to 40 for biology.
4

Which correctly compares the interquartile ranges?

A
The interquartile range for cars is about 8 mpg, and the interquartile range for minivans is about 7 mpg.
B
The interquartile range for cars is about 12 mpg, and the interquartile range for minivans is about 12 mpg.
C
The interquartile range for cars is about 24 mpg, and the interquartile range for minivans is about 19 mpg.
D
The interquartile range for cars is about 7 mpg, and the interquartile range for minivans is about 3 mpg.
5

Which animal shelter has the dog that weighs the greatest?

A
shelter B
B
Both shelters have a dog with the highest weight of 30 pounds.
C
Both shelters have a dog with the highest weight of 28 pounds.
D
shelter A
6

Which is closest to the difference in the medians of the two sets of data?

A
8
B
7
C
4
D
5
7

Josef says that the range for the car data is greater than the range for the minivan data because the box in the box plot for the car data is wider. Which explains Josef’s error?

A
Josef confused the range and the median.
B
Josef should have compared the medians and minimum values.
C
Josef confused the range and the interquartile range.
D
Josef should have compared the medians and maximum values.
8

Which statement compares the median wind speeds for the data in the two box plots?

A
The median wind speed for country A is greater than the median wind speed for country B.
B
The median wind speed for country B is greater than the median wind speed for country A.
C
The median wind speed for each country is about 4 miles per hour.
D
The median wind speed for country A is about 7 miles per hour, and the median wind speed for country B is about 9 miles per hour.
9

The manager used the given table to compare the measures of center and the measures of variability. Median Range Interquartile Range Sold in June 24 33 minus 21 is equal to 12 29 minus 22 is equal to 7 Sold in December 19 26 minus 14 is equal to 12 21 minus 16 is equal to 5 What error did the manager make in the table?

A
The median for June should be 22 .
B
The interquartile range for December should be 26 minus 18 is equal to 8 .
C
The interquartile range for December should be 21 minus 18 is equal to 3 .
D
The median for December should be 14 .
10

Which table correctly compares the measures of center and the measures of variability?

A
Image with description A 4-column table with 3 rows. Column 1 has entries Spanish, French, blank. Column 2 is labeled Median with entries 70, 75, Difference in medians: 5. Column 3 is labeled Range with entries 25, 15, Difference in ranges: 10. Column 4 is labeled Interquartile Range with entries 40, 35, Difference in Interquartile Ranges: 5.
B
Image with description A 4-column table with 3 rows. Column 1 has entries Spanish, French, blank. Column 2 is labeled Median with entries 85, 80, Difference in medians: 5. Column 3 is labeled Range with entries 25, 15, Difference in ranges: 10. Column 4 is labeled Interquartile Range with entries 40, 35, Difference in Interquartile Ranges: 5.
C
Image with description A 4-column table with 3 rows. Column 1 has entries Spanish, French, blank. Column 2 is labeled Median with entries 70, 75, Difference in medians: 5. Column 3 is labeled Range with entries 40, 35, Difference in ranges: 5. Column 4 is labeled Interquartile Range with entries 25, 15, Difference in Interquartile Ranges: 10.
D
Image with description A 4-column table with 3 rows. Column 1 has entries Spanish, French, blank. Column 2 is labeled Median with entries 85, 80, Difference in medians: 5. Column 3 is labeled Range with entries 40, 35, Difference in ranges: 5. Column 4 is labeled Interquartile Range with entries 25, 15, Difference in Interquartile Ranges: 10.

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