The sampling distribution of the mean has minimum variance.

Question

Quizplus · Accepted Answer

The sampling distribution of the mean has a minimum variance as it is less variable than the original population distribution. This is because the sample mean is less affected by chance fluctuations in individual observations than the individual observations themselves. Therefore, the more samples we take, the less variable the means of those samples will be, leading to a smaller variance in the sampling distribution of the mean.

The Sampling Distribution of the Mean Has Minimum Variance