If the condition for using the empirical rule is met, why should that rule be used instead of Chebyshev's rule?

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Jordin

30 July, 18:56

If the condition for using the empirical rule is met, why should that rule be used instead of Chebyshev's rule?

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Eliza Schaefer · Answer 1

Chebyshev's rule is a lower bound on the proportion of data that can be found within a certain number of standard deviations from the mean. If the distribution is roughly bell-shaped, the empirical rule, in general, provides better estimates than Chebyshev's rule.