Page 99 - 2024-bfw-starnes-TPS7e-SE proofs.indd
P. 99
86 UNIT 1 Exploring One-Variable Data
Section II: Free Response Show all your work. Indicate clearly the methods you use, because you will be graded on
the correctness of your methods as well as on the accuracy and completeness of your results and explanations.
T11 As part of an annual survey, high school students were (a) Construct a histogram of these data.
asked to choose their favorite type of music from a list. (b) Determine whether this distribution has any outliers.
The side-by-side bar graph compares the preferences Show your method clearly.
© 2024 BFW Publishers PAGES NOT FINAL - For Review Purposes Only - Do Not Copy
for separate random samples of 250 students in con- (c) Would it be better to use the mean and standard devi-
secutive years.
ation or the median and IQR to describe the center
and variability of this distribution? Why?
35
30
T13 Researchers suspect that athletes typically have a faster
25 reaction time than non-athletes do. To test this theory,
Percent 20 the researchers gave an online reflex test to separate
random samples of 33 athletes and 30 non-athletes at
15
10 one school. Here are parallel boxplots and summary
5 statistics of the data on reaction times (in millisec-
0 onds) for the two groups of students:
Year 1 Year 2 Year 1 Year 2 Year 1 Year 2 Year 1 Year 2 Year 1 Year 2 Year 1 Year 2
Pop Hip Alternative Rock Jazz Other
hop Non-athlete
Favorite type of music
(a) In which year did more students choose either pop or Student Athlete
hip hop as their favorite type of music? Explain your
answer.
(b) Describe similarities and differences in the distribu- 150 200 250 300 350 400 450 500
tions of favorite type of music for the two years. Reaction time (msec)
T12 A researcher is interested in how many contacts older Student n Mean StDev Min Q 1 Med Q 3 Max
adults have in their smartphones. Here are data on the Non-athlete 30 297.3 65.9 197.0 255.0 292.0 325.0 478.0
number of contacts for a random sample of 30 adults
older than age 65 with smartphones in a large city: Athlete 33 270.1 57.7 189.6 236.0 261.0 300.0 398.0
Compare the distribution of reaction time for athletes
7 20 24 25 25 28 28 30 32 35 and non-athletes.
42 43 44 45 46 47 48 48 50 51
72 75 77 78 79 83 87 88 135 151
© 2024 BFW Publishers PAGES NOT FINAL - For Review Purposes Only, all other uses prohibited - Do Not Copy or Post in Any Form.
02_StarnesTPS7e_40934_un01_p1_001_086_6pp.indd 86 13/09/23 5:40 PM
