# Chebyshev's Inequality

Chebyshev's Inequality

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.

1001-%

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2

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k

k>1

1001-%

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2

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μ-kσ

μ+kσ

k>1

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σ

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