Houghton Mifflin Harcourt Algebra 1, 2015
HM
Houghton Mifflin Harcourt Algebra 1, 2015 View details
4. Normal Distributions
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Exercise 22 Page 343

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.