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Heights of men on a baseball team have a​ bell-shaped distribution with a mean of

171 cm

171 cm and a standard deviation of

7 cm

7 cm. Using the empirical​ rule, what is the approximate percentage of the men between the following​ values?

Verified Answer :

LammettHash

The empirical rule states that approximately 68% of the distribution falls within one standard deviation of the mean, 95% within two standard deviations, and 99.7% between three standard deviations.

This means:
 
68% of men will have a height in the range \((171-7,171+7)=(164,178)\)
95% of men will have a height in the range \((171-14,171+14)=(157,185)\)
99.7% of men will have a height in the range \((171-21,171+21)=(150,192)\)

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