Which statement is false The coefficient of variation cannot

Which statement is false?

The coefficient of variation cannot be used when the mean is zero.

The standard deviation is in the same units as the mean (e.g., kilograms).

The mean from a frequency tabulation may differ from the mean from raw data.

The skewness coefficient is zero in a sample from any normal distribution.

Solution

This is false:

OPTION D: The skewness coefficient is zero in a sample from any normal distribution.

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Although the expected value of the skewness coefficient for a sample from a normal distribution is 0, it is NOT ALWAYS 0. Actually, it takes a perfectly normally distributed sample to get a 0 for this one.