Sampling distributions of means will always tend towards a normal distribution with increasing sample size, even if the distribution of the underlying population is bimodal.

Question

Quizplus · Accepted Answer

This is known as the central limit theorem. As sample size increases, the mean of the sampling distribution becomes more and more representative of the population mean, leading to a normal distribution shape. The underlying distribution of the population does not affect this tendency.

Sampling Distributions of Means Will Always Tend Towards a Normal