Chebysheff's Theorem states that the percentage of observations in a data set that should fall within five standard deviations of their mean is at least 96%.

Question

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Chebysheff's Theorem states that regardless of the shape of the distribution, at least 1 - (1/k^2) of the observations in a data set will fall within k standard deviations of the mean. When k=5, 1 - (1/5^2) = 96%, so at least 96% of the observations will fall within five standard deviations of the mean.

Chebysheff's Theorem States That the Percentage of Observations in a Data