The mean of the means of the sampling distributions of a finite population is

AMore than the mean of that population

BLess than the mean of that population

CEqual to the mean of that population ✓ Correct

DEqual to the median of that population

Correct answer: (C) Equal to the mean of that population

Explanation

The mean of the means of all possible samples, the mean of the sampling distribution, equals the population mean.

This makes the sample mean an unbiased estimator of the population mean.

It is not more than the population mean, since there is no systematic upward tilt.

Nor is it less than the population mean, as there is no downward bias.

It equals the population mean, not the median, unless the distribution happens to be symmetric.

The standard deviation of this sampling distribution is the standard error of the mean.

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