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We need to compare Chebyshev's rule and empirical rule for

$S\tan darddeviation=2$

Chebyshev's Theorem indicates that at least $75$percent of observations fall within a range of two standard deviations around the mean, and no more than $25$percent fall beyond that range, but the empirical rule predicts that $95$percent fall inside the first two standard deviations.

Chebyshev's theorem differs from the other because it makes no assumptions about the distribution. It is applicable to all forms of data distributions, whereas the Empirical theorem presupposes that data is normally distributed.

We need to compare Chebyshev's rule and empirical rule for

$S\tan darddeviation=3$

Chebyshev's Theorem asserts that at least $88.9$percent of observations fall within a range of three standard deviations around the mean, and no more than $11.1$percent fall beyond that range, whereas the empirical rule predicts that $99.7$$\%$fall inside the first three standard deviations.

Chebyshev's theorem differs from the other because it makes no assumptions about the distribution. It is applicable to all forms of data distributions, whereas the Empirical theorem presupposes that data is normally distributed.