A data set has the following two-number summary: x-bar=47, s=2.5 Find the interv

Question

A data set has the following two-number summary: x-bar=47, s=2.5 Find the intervals that lie within 1 standard deviation of the mean within 1.5 standard deviations of the mean
within 2 standard deviations of the mean
A data set has the following two-number summary: x-bar=47, s=2.5 Find the intervals that lie within 1 standard deviation of the mean within 1.5 standard deviations of the mean
within 2 standard deviations of the mean
Find the intervals that lie within 1 standard deviation of the mean within 1.5 standard deviations of the mean
within 2 standard deviations of the mean

Explanation / Answer

within 1 standard deviation of the mean is 47+/-2.5=(44.5,49.5)

within 1.5 standard deviations of the mean is 47+/-1.5*2.5=(43.25,50.75)

within 2 standard deviations of the mean 47+/-2*2.5=(42,52)

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