The variance of a distribution of means of samples of more than one is
A)smaller than the original population variance.
B)the same as the original population variance.
C)greater than the original population variance.
D)unrelated to the original population variance.

Question

Quizplus · Accepted Answer

The variance of a distribution of means of samples (also known as the variance of the sampling distribution of the mean) is smaller than the original population variance. This is because averaging across samples tends to cancel out extreme values, leading to a more concentrated distribution of sample means around the population mean.

The Variance of a Distribution of Means of Samples of More