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SecTIoN 1c Exercises 47

Which of the following statements about the dotplot is
not correct?

(A) The center (median) of the distribution is Interviewer 1
$8000.
(B) There are more North Carolina colleges and uni-
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versities with tuitions less than $10,000 than with
tuitions greater than $10,000. Interviewer 2
(C) The tuitions vary from about $4000 to about
$54,000. 0 10 20 30 40 50
Workout time per week (h)
(D) There are two obvious outliers — institutions with
tuitions greater than $50,000.
(E) The distribution of tuition is skewed to the right. Which of the following statements about the graph is
correct?
43. When comparing the distribution of a quantitative vari-
able for two groups, it would be best to use relative fre- (A) For both interviewers, the distribution of workout
quency histograms rather than frequency histograms time per week is roughly symmetric.
when (B) There is a similar amount of variability in
people’s reported workout times for both
(A) the distributions have different shapes. interviewers.
(B) the distributions have different amounts of variability. (C) Interviewer 1’s distribution of workout time per
(C) the distributions have different centers. week has outliers; Interviewer 2’s distribution of
(D) the distributions have different numbers of data workout time per week has no outliers.
values. (D) People who responded to Interviewer 2 tended
(E) at least one of the distributions has outliers. to report a higher amount of workout time
44. Which of the following is the best reason for choosing a per week than people who responded to
stemplot rather than a histogram to display the distribu- Interviewer 1.
tion of a quantitative variable? (E) For both interviewers, more than 75% of
(A) Stemplots allow you to split stems; histograms people reported working out 10 or less hours
don’t. per week.
(B) Stemplots allow you to see individual data Recycle and Review Practice what you learned in previous
values. sections.
(C) Stemplots are better for displaying very large sets 46. Marital Status (1B) The side-by-side bar graph
of data. compares the marital status of U.S. adult residents
63
(D) Stemplots never require rounding of values. (18 years old or older) in 1980 and 2020.
(E) Stemplots make it easier to determine the shape of Compare the distributions of marital status for these
a distribution. two years.
45. For their final project, two statistics students designed 70
an experiment to investigate the effect of the inter- 60
viewer on people’s responses to the question, “How
many hours a week do you work out?” Interviewer 1 50
wore jeans and a school T-shirt, while Interviewer 2 Percent 40
wore athletic attire with the school logo. The two stu- 30
dents were each randomly assigned three 15-minute 20
time slots during a 90-minute period to serve as
the interviewer. They asked the question of people 10
who passed by their location near campus. Here 0 1980 2020 1980 2020 1980 2020 1980 2020
are parallel dotplots of the data obtained by each Never married Married Widowed Divorced
interviewer: 62 Marital status

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