When using Chebyshevs Theorem the minimum percentage of samp

When using Chebyshev\'s Theorem, the minimum percentage of sample observations that will fall within two standard deviations of the mean will be __________ the percentage within two standard deviations if a normal distribution is assumed (Empirical Rule).

smaller than

greater than

the same as

Solution

In contrast to the 68-95-99.7% rule, which applies to normal distributions, under Chebyshev\'s inequality a minimum of just 75% of values must lie within two standard deviations of the mean and 89% within three standard deviations.

Answer: Smaller than