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

Line of Best Fit Answers

10 verified answers1 views
1
Free Preview

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.
2
Free Preview

The box plots represent the distributions of typing speeds of students before and after a computer-programming course. Which statement is true about the variability of the distributions?

Question illustration
A
The interquartile range of the typing speeds after the course is greater than the interquartile range of the speeds before the course.
B
The interquartile ranges of the two distributions are the same.
C
The range of the speeds after the course is smaller than the range of the speeds before the course.
D
The ranges of the two distributions are the same.
3

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
0
0
2
2
4
4
7
7
4

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
5

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.
6

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.
7

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

Question illustration
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.
8

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.
9

The box plots represent the ages of pennies in two 50-cent rolls.

Question illustration
A
She is correct because the medians are 10 years apart, which means the means are half of that, or 5 years apart.
B
She is correct because the maximum ages of the pennies in each set are 5 years apart.
C
She is not correct because the means are both equal to 12.
D
She may not be correct because means cannot be determined from the box plots.
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

Did you find these answers helpful?

More from this Course

Quiz
10 verified answers

Strength of Correlation

Quiz
10 verified answers

Comparing Data Sets

Quiz
10 verified answers

Box Plots