Browse Teach Curate

Central Limit Theorem

The standardized sum of many independent random variables with finite variance converges to a Gaussian regardless of the summands' own distribution; it is why sample means have approximately normal sampling distributions.

jeremy Video

Central Limit Theorem in Statistics: Sampling Distribution and Means become Normal

The Central Limit Theorem states that for a sufficiently large sample size drawn from any population with finite variance, the sampling distribution of the arithmetic mean converges to a normal (Gaus…