b. Are there any potential outliers? If so, which scores are they? Why do you consider
them outliers?
Solution
a.
Stem
Leaf

5
1
6
7
6 7 8 9
8
1 2 4 6
9
9
b. 51, 99
51 is 25 points below the nearest exam value, and 99 is 13 points above the nearest
exam value. These two scores are clearly separate from the rest of the data. They are
outliers.
Exercise
75.
Table 1.61
contains the 2010 obesity rates in U.S. states and Washington, DC.
State
Percent
(%)
State
Percent
(%)
State
Percent
(%)
Alabama
32.2
Kentucky
31.3
North
Dakota
27.2
Alaska
24.5
Louisiana
31.0
Ohio
29.2
Arizona
24.3
Maine
26.8
Oklahoma
30.4
Arkansas
30.1
Maryland
27.1
Oregon
26.8
California
24.0
Massachusetts
23.0
Pennsylvania
28.6
Colorado
21.0
Michigan
30.9
Rhode Island
25.5
Connecticut
22.5
Minnesota
24.8
South
Carolina
31.5
Delaware
28.0
Mississippi
34.0
South
Dakota
27.3
Washington,
DC
22.2
Missouri
30.5
Tennessee
30.8
Florida
26.6
Montana
23.0
Texas
31.0
Georgia
29.6
Nebraska
26.9
Utah
22.5

Hawaii
22.7
Nevada
22.4
Vermont
23.2
Idaho
26.5
New
Hampshire
25.0
Virginia
26.0
Illinois
28.2
New Jersey
23.8
Washington
25.5
Indiana
29.6
New Mexico
25.1
West
Virginia
32.5
Iowa
28.4
New York
23.9
Wisconsin
26.3
Kansas
29.4
North Carolina
27.8
Wyoming
25.1
Table 1.61
a. Use a random number generator to randomly pick eight states. Construct a bar
graph of the obesity rates of those eight states.
b. Construct a bar graph for all the states beginning with the letter "A."
c. Construct a bar graph for all the states beginning with the letter "M."
Solution
a. Example solution for using the random number generator for the TI-84+ to
generate a simple random sample of 8 states. Instructions are as follows.
Number the entries in the table 1–51 (Includes Washington, DC; Numbered vertically)
Press MATH
Arrow over to PRB
Press 5:randInt(
Enter 51,1,8)
Eight numbers are generated (use the right arrow key to scroll through the numbers).
The numbers correspond to the numbered states (for this example: {47 21 9 23 51 13
25 4}. If any numbers are repeated, generate a different number by using
5:randInt(51,1)). Here, the states (and Washington DC) are {Arkansas, Washington DC,
Idaho, Maryland, Michigan, Mississippi, Virginia, Wyoming}.
Corresponding percents are {30.1, 22.2, 26.5, 27.1, 30.9, 34.0, 26.0, 25.1}.

b.
c.
Exercise
Suppose that three book publishers were interested in the number of fiction

76.
paperbacks adult consumers purchase per month. Each publisher conducted a survey.
In the survey, adult consumers were asked the number of fiction paperbacks they had
purchased the previous month. The results are as follows:
# of books
Freq.
Rel. Freq.
0
10
1
12
2
16
3
12
4
8
5
6
6
2
8
2
Table 1.62 Publisher A
# of books
Freq.
Rel. Freq.
0
18
1
24
2
24
3
22
4
15
5
10

7
5
9
1
Table 1.63 Publisher B
# of books
Freq.
Rel. Freq.
0–1
20
2–3
35
4–5
12
6–7
2
8–9
1
Table 1.64 Publisher C
a. Find the relative frequencies for each survey. Write them in the charts.
b. Using either a graphing calculator, computer, or by hand, use the frequency column
to construct a histogram for each publisher's survey. For Publishers A and B, make bar
widths of one. For Publisher C, make bar widths of two.

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- Summer '14
- Statistics