95% Rule Statistics

Question

Use the 95% rule and the fact that the summary statistics come from a distribution that is symmetric and bell-shaped to find an interval that is expected to contain about 95% of the data values.

A bell-shaped distribution with mean 160 and standard deviation 24 .

Answer 1

95% of the data would be contained within two standard deviations of the mean.

so for data with mean 160 and standard deviation 24

data 160 +/- 2 * 24 = 112, 208 would be within 2 standard deviations of the men and contain 95% of the data.