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Exercises: Practice Makes Perfect!

Work the exercises assigned by your teacher. Watch the videos when you need extra help.

Time spent working exercises is key to success in this course.

SECTION EXERCISES ORGANIZED BY TOPIC
Use the handy headings to guide you to topics on which you
need practice.

THE TPS “BACKWARD/FORWARD”
NAVIGATION SYSTEM
Do you read the text first, or do you
start with the assigned exercises? SecTIoN 1c Exercises 47
Either way, TPS is designed to
support you.
Which of the following statements about the dotplot is
not correct? Look for the icons that appear next to
selected exercises. They will guide you
(A) The center (median) of the distribution is Interviewer 1
$8000.
• Back to the example that models the
(B) There are more North Carolina colleges and uni-
Interviewer 2
exercise so that you can review the
versities with tuitions less than $10,000 than with
tuitions greater than $10,000. worked solution, if you are confused.
(C) The tuitions vary from about $4000 to about
• To a short video that provides step-
$54,000. © 2024 BFW Publishers PAGES NOT FINAL - For Review Purposes Only - Do Not Copy
50
10
0
20
40
30
by-step instruction for solving the
(D) There are two obvious outliers — institutions with Workout time per week (h)
exercise.
tuitions greater than $50,000.
(E) The distribution of tuition is skewed to the right. Which of the following statements about the graph is VIDEO SCREEN
correct?
43. When comparing the distribution of a quantitative vari- TK
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
46 UNIT 1 Exploring One-Variable Data
people’s reported workout times for both
(A) the distributions have different shapes. interviewers.
46 UNIT 1 Exploring One-Variable Data (C) Interviewer 1’s distribution of workout time per
(B) the distributions have different amounts of variability.
(b) Do these data provide evidence that vitamin C helps
For Investigation Apply the skills from the section in a new
(C) the distributions have different centers. week has outliers; Interviewer 2’s distribution of
teeth grow in guinea pigs similar to the ones used in
context or nonroutine way.
workout time per week has no outliers.
(D) the distributions have different numbers of data
Additional problem types in the Section
For Investigation Apply the skills from the section in a new (b) Do these data provide evidence that vitamin C helps this experiment? Justify your answer.
38. Population pyramids The histograms show the age
context or nonroutine way. values. distribution of the population in Australia and Ethiopia Exercises let you practice solving many
teeth grow in guinea pigs similar to the ones used in
(D) People who responded to Interviewer 2 tended
this experiment? Justify your answer.
to report a higher amount of workout time
(E) at least one of the distributions has outliers.
38. Population pyramids The histograms show the age in a recent year from the U.S. Census Bureau’s interna- Multiple Choice Select the best answer for each question.
different types of questions, including:
40. Here are the amounts of money (cents) in coins carried
tional database. (This type of graph is referred to as a
distribution of the population in Australia and Ethiopia 59 per week than people who responded to
44. Which of the following is the best reason for choosing a
Interviewer 1.
in a recent year from the U.S. Census Bureau’s interna- Multiple Choice Select the best answer for each question. by 10 students in a statistics class: 50, 35, 0, 46, 86, 0,
• For Investigation exercises that
population pyramid.)
stemplot rather than a histogram to display the distribu-
59
tional database. (This type of graph is referred to as a 40. Here are the amounts of money (cents) in coins carried assess multiple skills and concepts,
5, 47, 23, 65. To make a stemplot of these data, you
(E) For both interviewers, more than 75% of
tion of a quantitative variable?
people reported working out 10 or less hours
population pyramid.) 100 by 10 students in a statistics class: 50, 35, 0, 46, 86, 0, would use stems and let you apply your knowledge in
(A) Stemplots allow you to split stems; histograms
per week.
Australia
don’t. 90 5, 47, 23, 65. To make a stemplot of these data, you (A) 0, 2, 3, 4, 5, 6, 8. nonroutine ways.
80 would use stems Ethiopia
100 (B) Stemplots allow you to see individual data 70 Recycle and Review Practice what you learned in previous ®
(B) 0, 1, 2, 3, 4, 5, 6, 7, 8. • AP -style Multiple Choice
90 values. Australia 60 (A) 0, 2, 3, 4, 5, 6, 8.
sections.
80 Ethiopia Age 50 (C) 0, 3, 5, 6, 7. questions that give you regular
(B) 0, 1, 2, 3, 4, 5, 6, 7, 8.s (1B) The side-by-side bar graph
70 (C) Stemplots are better for displaying very large sets 46. Marital Statu practice for the AP Statistics exam.
40
®
Age 60 of data. 30 (C) 0, 3, 5, 6, 7. (D) 00, 10, 20, 30, 40, 50, 60, 70, 80, 90.
compares the marital status of U.S. adult residents
50
20
63
40 (D) Stemplots never require rounding of values. (18 years old or older) in 1980 and 2020. • Recycle and Review problems that
(E) None of these.
10
(D) 00, 10, 20, 30, 40, 50, 60, 70, 80, 90.
30 (E) Stemplots make it easier to determine the shape of Compare the distributions of marital status for these refer back to concepts and skills
0
20 10 5 two years. 5 10 15 41. The histogram shows the heights (in inches) of 300
0
learned in an earlier section, as noted
10 a distribution. (E) None of these. randomly selected high school students. Which of the
0 Percentage of population
45. For their final project, two statistics students designed 70 in the references in parentheses (1B).
10 5 0 5 10 15 41. The histogram shows the heights (in inches) of 300 following is the best description of the shape of the dis-
an experiment to investigate the effect of the inter- randomly selected high school students. Which of the
tribution of height?
60
Percentage of population
viewer on people’s responses to the question, “How following is the best description of the shape of the dis- xxi
(a) The total population of Australia at this time was about
xxi
50
many hours a week do you work out?” Interviewer 1 tribution of height? 70
26 million. Ethiopia’s population was about 111 mil-
lion. Why did we use percentages rather than counts
wore jeans and a school T-shirt, while Interviewer 2
(a) The total population of Australia at this time was about Percent 40 60
wore athletic attire with the school logo. The two stu-
26 million. Ethiopia’s population was about 111 mil- on the horizontal axis? 30
70
© 2024 BFW Publishers PAGES NOT FINAL - For Review Purposes Only, all other uses prohibited - Do Not Copy or Post in Any Form.
dents were each randomly assigned three 15-minute
lion. Why did we use percentages rather than counts 60 20 50
(b) What important differences do you see between the
on the horizontal axis? age distributions? Be specific. 40
time slots during a 90-minute period to serve as
the interviewer. They asked the question of people 50 10 Frequency
01_StarnesTPS7e_40934_fm_p1_i_xxvi_1pp.indd 21
(b) What important differences do you see between the 0 30 17/10/23 5:01 PM
who passed by their location near campus. Here
39. Vitamin C and teeth Researchers performed an exper-
age distributions? Be specific. 40 1980 2020 1980 2020 1980 2020 1980 2020
iment with 60 guinea pigs to investigate the effect of
are parallel dotplots of the data obtained by each Frequency Never married Married Widowed Divorced
20
62
interviewer:
vitamin C on tooth growth. Each animal was randomly
39. Vitamin C and teeth Researchers performed an exper- 30 Marital status
iment with 60 guinea pigs to investigate the effect of assigned to receive one of three dose levels of vitamin 10
20
vitamin C on tooth growth. Each animal was randomly 0
C (0.5, 1, or 2 mg/day). The response variable was
10
assigned to receive one of three dose levels of vitamin the length of odontoblast cells (responsible for tooth 52 56 60 64 68 72 76
C (0.5, 1, or 2 mg/day). The response variable was growth), in micrometers (µm). Here is a special type of Height (in.)
0
the length of odontoblast cells (responsible for tooth dotplot that displays the data: 56 60 60 64 68 72 76
52
growth), in micrometers (µm). Here is a special type of Height (in.) (A) Roughly symmetric and single-peaked (unimodal)
dotplot that displays the data: 60 (B) Roughly symmetric and double-peaked (bimodal)
(A) Roughly symmetric and single-peaked (unimodal)
(C) Roughly symmetric and multi-peaked (multimodal)
30
(B) Roughly symmetric and double-peaked (bimodal)
(D) Skewed to the left
30 (C) Roughly symmetric and multi-peaked (multimodal) (E) Skewed to the right
09/10/23 11:35 AM
02_StarnesTPS7e_40934_un01_p1_001_086.indd 47 Cell length (µm) (D) Skewed to the left 42. The dotplot shows the tuition (to the nearest $1000) for
20
Cell length (µm) 20 42. The dotplot shows the tuition (to the nearest $1000) for 61
(E) Skewed to the right
the 63 largest colleges and universities in North
Carolina in a recent year.
the 63 largest colleges and universities in North
10
10 Carolina in a recent year. 61
0.5 1 2
Dose (mg)
0.5 1 2
Dose (mg) (a) How does this dotplot differ from the ones shown in 5 10 15 20 25 30 35 40 45 50 55
this section? Tuition ($1000s)
30
25
35
(a) How does this dotplot differ from the ones shown in 5 10 15 20 Tuition ($1000s) 40 45 50 55
this section?
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02_StarnesTPS7e_40934_un01_p1_001_086.indd 46 09/10/23 11:35 AM