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 lass, 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 appropriate measures of center and spread.
c) Is the ratio of 9.3 for the Statue of Liberty unrealistically low? Explain.

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