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Question

Heights of men on a baseball team have a bell-shaped distribution with a mean of 183 cm and a standard deviation of 7 cm.

Using the empirical rule, what is the approximate percentage of the men between the following values?

a. 162 cm and 204cm

b. 169 cm and 197 cm

Answer 1

a. 183 +- 3 standard deviation is 162cm to 204cm.  This encompasses 99.7% of all men in a normal distribution

b. 183+_ 2 standard deviation is 169cm to 197cm.  This encompasses 95% of all men in a normal distribution

 

https://en.wikipedia.org/wiki/68%E2%80%9395%E2%80%9399.7_rule