Central Limit Theorem

A mathematically provable principle about obtaining means of samples that has two major ramifications:- The standard deviation of averages of samples from the population will be approximately equal to the standard deviation of the population divided by the square root of the sample size.- Regardless of the shape of the original distribution (even for very non-normal distributions such as exponential distributions), the distributions of averages of samples from the population approach the shape of a normal distribution.

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