Both Chebyshevʹs rule and the empirical rule guarantee that no data item will be more than four
standard deviations from the mean.

Question

Quizplus · Accepted Answer

Chebyshev's rule applies to any distribution, guaranteeing that at least $1 - \frac{1}{k^2}$ of the data lies within k standard deviations from the mean for any k > 1, but it does not guarantee that no data item will be more than four standard deviations from the mean. The empirical rule, specific to normal distributions, suggests that about 68%, 95%, and 99.7% of the data lie within one, two, and three standard deviations from the mean, respectively, but it also does not make guarantees beyond three standard deviations.

Both Chebyshevʹs Rule and the Empirical Rule Guarantee That No