AnswersMathematics for College Liberal Arts Sem 1 1207350 BCPS 2025-26Comparing Data Sets

Comparing Data Sets Answers

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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.
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Two histograms showing the number of pets owned by boys and girls in a science class are each skewed left. Which measure of variability should be used to describe the data?

m
mean
m
median
s
standard deviation
i
interquartile range
3

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?

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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.
4

The histogram shows the distributions of essay scores for high school sophomores and juniors in a contest. Which comparison of the distributions is true?

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A
Both distributions are nearly symmetric.
B
Both distributions are right-skewed.
C
The distribution of sophomores’ scores is right-skewed, and the distribution of juniors’ scores is left-skewed.
D
The distribution of sophomores’ scores is left-skewed, and the distribution of juniors’ scores is right-skewed.
5

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.

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6

The table shows the test scores of students who studied for a test as a group (Group A) and students who studied individually (Group B).

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T
The scores of Group B are skewed right, so the mean and range are the best measures for comparison.
B
Both distributions are nearly symmetric, so the mean and the standard deviation are the best measures for comparison.
B
Both distributions are nearly symmetric, so the median and the interquartile range are the best measures for comparison.
T
The scores of both groups are skewed, so the median and standard deviation are the best measures for comparison.
7

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?

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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.
8

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?

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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.
9

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

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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.
10

A research study was conducted to measure the time students focus on a task before being distracted. The box plots show the distributions of attention spans of high school and college students.Which statements are true regarding the data sets? Select two options.The median attention span of college students is greater than the median attention span of high school students. The range of attention span of college students is greater than the range of attention spans of high school students.The interquartile range of attention spans of college students is greater than the interquartile range of attention spans of high school students.All of the college students in the study had greater attention spans than the high school students.The minimum attention span of high school students is greater than the minimum attention span of college students.

Question illustration
A
The median attention span of college students is greater than the median attention span of high school students.
B
The range of attention span of college students is greater than the range of attention spans of high school students.
C
The interquartile range of attention spans of college students is greater than the interquartile range of attention spans of high school students.
D
All of the college students in the study had greater attention spans than the high school students.
E
The minimum attention span of high school students is greater than the minimum attention span of college students.

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