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In a sample of 100 men, the mean height was calculated to be 68.34 in. with...

In a sample of 100 men, the mean height was calculated to be 68.34 in. with a sample standard deviation of 3.02 in. The same group had a mean weight of 172.55 lb and a sample standard deviation of 26.33 lb. Compare the variation in men's height and men's weight. What set is more variable?

Cannot be determined.

Height t is more variable than weight.

Weight is more variable than height.

Weight and height have the same variation.

Math   Statistics-And-Probability   
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Answer #1

Solution: In a sample of 100 men, the mean height was calculated to be 68.34 in. with a sample standard deviation of 3.02 in. The same group had a mean weight of 172.55 lb and a sample standard deviation of 26.33 lb. Compare the variation in men's height and men's weight. What set is more variable?

Answer: Weight is more variable than height.

Explanation:

We will use coefficient of variation to find which variable has more variability.

Heights (with CV=4.42%) have considerably less variation than weights (with CV=15.26%) . Therefore weight is more variable than height

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