Chebyshev's theorem states that the percentage of observations in a data set that should fall within 3 standard deviations of their mean is at least 88.9%.

Question

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This statement is true according to Chebyshev's theorem, which states that at least 1 - (1/k^2) of the data falls within k standard deviations of the mean, where k is any positive number greater than 1. When k=3, 1 - (1/k^2) = 1 - (1/9) = 8/9 = 0.8889, or 88.9%.

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