Chebychev’s Theorem and Empirical Rule

If we are dealing with non-normal datawe use Chebychev’s Theorem. While not as precise, it does provide some level of utility. If we use Chebychev, how many standard deviations do we have to go out from the mean, in order to approach roughly the same level of precision provided by plus or minus two SDs under the Empirical Rule.

According to the Empirical Rule, about 95% of the values are within two standard deviations from the mean.

According to Chebychev’s Theorem, at least …

This solution helps with a problem regarding Chebychev’s Theorem and the Empirical Rule.