Comparing Data Sets Answers

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The box plots show the data distributions for the number of customers who used a coupon each hour during a two-day sale. Which measure of variability can be compared using the box plots?

Question illustration
A
interquartile range
B
standard deviation
C
mean
D
median
3

The table shows the growth, in centimeters, of plants in two different soils after two weeks. Which statement explains which soil tended to have a greater growth?

Question illustration
A
Soil A had greater growth because its data have a greater standard deviation.
B
Soil A had greater growth because its data have a greater mean.
C
Soil B had greater growth because its data have a greater interquartile range.
D
Soil B had greater growth because its data have a greater median.
4

The box plots show the data distributions for the number of customers who used a coupon each hour for two days of a store sale.

Question illustration
A
0
B
2
C
4
D
7
5

The table shows the daily time, in minutes, Maggie spent at swim practice and band practice over the last ten days. Which statement is true about the measures of center of the practice times?

Question illustration
A
Maggie’s daily time at band practice tends to be greater than her time at swim practice.
B
Maggie’s daily time at band practice has less variation than her daily time at swim practice.
C
Maggie’s daily time at swim practice tends to be greater than her time at band practice.
D
Maggie’s daily time at swim practice tends to have more variation than her daily time at band practice.
6

The box plots show the distributions of the numbers of words per line in an essay printed in two different fonts. Which measure of center would be best to compare the data sets?

Question illustration
A
The median is the best measure because both distributions are left-skewed.
B
The mean is the best measure because both distributions are left-skewed.
C
The median is the best measure because both distributions are symmetric.
D
The mean is the best measure because both distributions are symmetric.
7

best

Question illustration
O
Only Brand A data is symmetric, so standard deviation is the best measure to compare variability.
O
Only Brand B data is symmetric, so the median is the best measure to compare variability.
B
Both distributions are symmetric, so the mean is the best measure to compare variability.
B
Both distributions are skewed left, so the interquartile range is the best measure to compare variability.
8

The histogram represents the distributions of boiling temperatures, in degrees Celsius, of tap water and a mixture of salt water.

Question illustration
T
The two distributions are each nearly symmetric.
T
The distributions do not overlap on the same range of temperatures.
T
The distribution of salt water boiling temperatures is left-skewed.
T
The distribution of tap water boiling temperatures is right-skewed.
9

The table shows the growth, in centimeters, of plants in two different soils after two weeks. Which statement explains which soil tended to have a greater growth?

Question illustration
A
Soil A had greater growth because its data have a greater standard deviation.
B
Soil A had greater growth because its data have a greater mean.
C
Soil B had greater growth because its data have a greater interquartile range.
D
Soil B had greater growth because its data have a greater median.

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