Question

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?

Answer 1

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)`