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

Comparing Data Sets Answers

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1
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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
2
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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.
3

The histogram shows the prices for six-packs of adult socks and six-packs of kid socks at a store. What is true about the variability of the prices of socks in kid sizes or adult sizes?

Question illustration
A
There is more variability in the prices of kid socks because they have a greater range.
B
There is more variability in the prices of kid socks because the median is lower.
C
There is more variability in the prices of adult socks because there are two bars of equal height.
D
There is more variability in the prices of adult socks because the median is greater.
4

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.
5

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.
6

The histogram shows the distributions of prices for packs of adult socks and packs of kid socks at a store. Which measure of center is the best to use to compare the prices of kid socks and adult socks?

Question illustration
A
range
B
mean
C
median
D
standard deviation
7

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).

Question illustration
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.
8

The box plots show the data distributions for the number of laps two students run around a track each day.

Question illustration
A
The difference between the medians of both data sets is 2.
B
The difference between the medians of both data sets is 4.
C
The difference between the ranges of both data sets is 2.
D
The difference between the ranges of both data sets is 4.
9

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.
10

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

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