What is the difference between the mean and 75 inches?
4 inches below, which is 1 standard deviation.
Practice makes perfect
We are told that the heights of basketball players in the U.S. are distributed normally, with a mean of 79 inches and a standard deviation of 4 inches. In order to find the difference d between the mean and 75 inches, we will subtract 75 inches from the mean.
d= 79- 75=4inches
Thus, 75 inches is 4 inches below the mean of 79 inches. We will find the number of standard deviations t by calculating the quotient between the difference we have just found and the standard deviation.
t=4/4=1
The difference corresponds to 1 standard deviation.