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Chapter 6: Q.37 (page 386)

About what percent ofx values lie between the mean and three standard deviations?

Short Answer

Expert verified

The xvalues which lie between the mean and three standard deviations will be:

≈50%

Step by step solution

01

Given information

Given in the question that, We have to find percent of x values lie between the mean and three standard deviations.

02

Explanation

According to the empirical rule of normal distribution, within three standard deviations of the mean, there are approximately 99.7%values of xlies, therefore the percent of xvalues lie between the mean and three standard deviations will be the half of those xvalues which lie within three standard deviations of the mean because the xvalues which lie between the mean and three standard deviations will be on one side of the normal graph. Hence, the xvalues which lie between the mean and three standard deviations will be:

=99.7%2

≈50%

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