The mean of a distribution of means is
A)the square-root of the original population mean.
B)the original population mean divided by the sample size.
C)the same as the original population mean.
D)the sample mean multiplied by the variance.

Question

Quizplus · Accepted Answer

The mean of a distribution of means is equal to the original population mean. This is due to the central limit theorem, which states that the mean of a large sample (n>30) will be approximately equal to the population mean. Therefore, as more and more samples are taken, the distribution of means will converge towards the population mean.

The Mean of a Distribution of Means Is