Chebyshev’s theorem is a mathematical rule similar to the empirical rule except that it applies to any distribution rather than just bell-shape, symmetrical distributions. Chebyshev’s theorem states that for any number *k* greater than 1, at least

percent of the values will fall within *k* standard deviations from the mean. Using this equation, we can state the following:

◆ At least 75 percent of the data values will fall within two standard deviations from the mean by setting *k* = 2 into Chebyshev’s equation.

◆ At least 88.9 percent of the data values will fall within three standard deviations from the mean by setting

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