# When does the Central Limit Theorem hold?

##### 1 Answer

Nov 2, 2015

As the size of the sample increases, the sampling distribution resembles a normal distribution.

#### Explanation:

From a population, we can take as many samples as possible. if we get the mean of all the samples which are all uniform in size and form a distribution, it is known as the sampling distribution of mean.

The central limit theorem says 'as the size of the sample increases, the sampling distribution resembles a normal distribution.'