Recall that Chebyshev's Theorem states that for any set of data and for any constant k greater than 1, the proportion of the data that must lie within k standard deviations on either side of the mean 1 Therefore, for sample data with mean x and standard deviation s, at least 1 -- of data must fall between x-ks and x + ks. When k-2, we have the following. 1 7/2 1 2² % Therefore, for any set of data, at least 75% of the data must fall between x - 2s and x+ s, or, in other words, within standard deviations of the mean.

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