Question

Heights of men follow a normal distribution with an average of 69" and a standard deviation of 2.8" (Iím rounding to make the arithmetic easier).

1. This indicates that the central 68% of men are from to tall.

2.  What percentage of men are between 69" and 71.8" tall?

Answer 1

Given that, mean = 69''

standard deviation = 2.8''

According to empirical ( 68-95-99.7) rule approximately 68% of the data fall within 1 standard deviations of the mean. ( i.e. between )

Therefore,

1) The central 68% of the men are from 66.2'' to 71.8'' tall

2) 68/2 = 34% of the data fall between

Therefore, 34% of men are between 69'' and 71.8'' tall.