Solutions to EndofSection and Chapter Review Problems
119
CHAPTER 2
2.1
Ordered array:
63
64
68
71
75
88
94
2.2
Stemandleaf of Finance Scores
5
34
6
9
7
4
8
0
9
38
n
= 7
2.3
Ordered array:
73
78
78
78
85
88
91
2.4
Ordered array:
50
74
74
76
81
89
92
2.5
(a)
Ordered array:
9.1
9.4
9.7
10.0
10.2
10.2
10.3
10.8
11.1
11.2
11.5
11.5
11.6
11.6
11.7
11.7
11.7
12.2
12.2
12.3
12.4
12.8
12.9
13.0
13.2
(b)
The stemandleaf display conveys more information than the ordered array. We
can more readily determine the arrangement of the data from the stemandleaf
display than we can from the ordered array.
We can also obtain a sense of the
distribution of the data from the stemandleaf display.
(c)
The most likely gasoline purchase is between 11 and 11.9 gallons.
(d)
Yes, the third row is the most frequently occurring stem in the display and it is located
in the center of the distribution.
(e)
Generalization from this sample is limited by the fact it was selected from only one
service station on the New Jersey Turnpike. Nothing else is known about the
sample, so caution should be used in saying anything about the population of
gasoline purchases.
2.6
(a)
Ordered array: 5, 6, 10, 11, 11, 12, 13, 14, 14, 14, 15, 15, 15, 15, 16, 16, 16, 16, 17,
17, 17, 19, 19, 20, 22, 23, 25, 28, 30, 34
(b)
PHStat output:
StemandLeaf Display
for PE Ratio
Stem unit:
10
0 5 6
1 0 1 1 2 3 4 4 4 5 5 5 5 6 6 6 6 7 7 7 9 9
2 0 2 3 5 8
3 0 4
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Chapter 2: Presenting Data in Tables and Charts
2.6
(c)
The stemandleaf display provides more information because it not only orders
cont.
observations from the smallest to the largest into stems and leaves, it also conveys
information on how the values distribute and cluster over the range of the
observations in the data set.
(d)
No, there do not seem to be more undervalued stocks than overvalued stocks
because there are 2 stocks with a P/E ratio below 10 and 2 stocks with P/E ratios
above 30.
2.7
(a)
Ordered array:
$15
$15
$18
$18
$20
$20
$20
$20
$20
$21
$22
$22
$25
$25
$25
$25
$25
$26
$28
$29
$30
$30
$30
(b)
PHStat
output:
StemandLeaf Display
for BouncedCheck Fee
Stem unit: 10
1 5 5 8 8
2 0 0 0 0 0 1 2 2 5 5 5 5 5 6 8 9
3 0 0 0
(c)
The stemandleaf display provides more information because it not only orders
observations from the smallest to the largest into stems and leaves, it also conveys
information on how the values distribute and cluster over the range of the
observations in the data set.
(d)
The bounced checked fees seem to be concentrated around $20 and $25 since there
are five observations of each of the two values in the sample of 23 banks.
2.8
(a)
0 0 5 5 5 5 5 5 6 6 6 7 7 7 8 8 9 9 9 10 10 10 10 10 12 12
(b)
Excel output:
00 0
1
2
3
4
50 0 0 0 0 0
60 0 0
70 0 0
80 0
90 0 0
100 0 0 0 0
11
120 0
(c)
The stemandleaf display provides more information because it not only orders
observations from the smallest to the largest into stems and leaves, it also conveys
information on how the values distribute and cluster over the range of the
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 Spring '08
 Harris
 Cumulative distribution function, Percentage Polygon

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