Wolfram Demonstrations Project

For any dataset, regardless of the shape of the distribution, at least

of the data elements will lie within

standard deviations of the mean, where

. That is, at least

of the data will lie between

and

for

, where

is the mean and

is the standard deviation of the distribution. This Demonstration illustrates the minimal percentage of data elements found within

standard deviations of any dataset's mean.

M. Sullivan III, Statistics: Informed Decisions Using Data, New Jersey: Pearson, 2010.

Contributed by: Craig Bauling

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