Which vital factor does the central limit theorem contain

To vital factors of the Central Limit Theorem:

(a) The mean of the sampling distribution is equal to the population mean even if population is not normally distributed.

(b) As the sample size increases, the sampling distribution of the mean would approach normally, regardless of the shape of the population distribution.

This relationship between the shape of the population distribution and the shape of the sampling distribution of the mean is called Central Limit Theorem. This theorem informs us that the sampling distribution of the mean approaches normal as the sample size increases.