Arm (cm) Nose (cm) Arm/Nose Ratio 73.8 5.0 14.8 74.0 4.5 16.4 69.5 4.5 15.4 62.5 4.7 13.3 68.6 4.4 15.6 64.5 4.8 13.4 68.2 4.8 14.2 63.5 4.4 14.4 63.5 5.4 11.8 67.0 4.6 14.6 67.4 4.4 15.3 70.7 4.3 16.4 69.4 4.1 16.9 71.7 4.5 15.9 69.0 4.4 15.7 69.8 4.5 15.5 71.0 4.8 14.8 71.3 4.7 15.2

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter7: Percents
Section7.2: Percents And Proportions
Problem 18E
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Question

Liberty’s nose Is the Statue of Liberty’s nose too long?
Her nose measures, 4′6′′, but she is a large statue, after
all. Her arm is 42 feet long. That means her arm is
42>4.5 = 9.3 times as long as her nose. Is that a
reasonable ratio? Shown in the table are arm and nose
lengths of 18 girls in a Statistics class, and the ratio of
arm-to-nose length for each.

a) Make an appropriate plot and describe the distribution
of the ratios.
b) Summarize the ratios numerically, choosing appropri-
ate measures of center and spread.
c) Is the ratio of 9.3 for the Statue of Liberty unrealisti-
cally low? Explain.
Arm (cm) Nose (cm) Arm/Nose Ratio
73.8
5.0
14.8
74.0
4.5
16.4
69.5
4.5
15.4
62.5
4.7
13.3
68.6
4.4
15.6
64.5
4.8
13.4
68.2
4.8
14.2
63.5
4.4
14.4
63.5
5.4
11.8
67.0
4.6
14.6
67.4
4.4
15.3
70.7
4.3
16.4
69.4
4.1
16.9
71.7
4.5
15.9
69.0
4.4
15.7
69.8
4.5
15.5
71.0
4.8
14.8
71.3
4.7
15.2
Transcribed Image Text:Arm (cm) Nose (cm) Arm/Nose Ratio 73.8 5.0 14.8 74.0 4.5 16.4 69.5 4.5 15.4 62.5 4.7 13.3 68.6 4.4 15.6 64.5 4.8 13.4 68.2 4.8 14.2 63.5 4.4 14.4 63.5 5.4 11.8 67.0 4.6 14.6 67.4 4.4 15.3 70.7 4.3 16.4 69.4 4.1 16.9 71.7 4.5 15.9 69.0 4.4 15.7 69.8 4.5 15.5 71.0 4.8 14.8 71.3 4.7 15.2
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