# The Central Limit Theorem

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The central limit theorem states that the sampling distribution of the sample mean approaches a normal distribution as the size of the sample grows. This means that the histogram of the means of many samples should approach a bell-shaped curve. Each sample consists of 200 pseudorandom numbers between 0 and 100, inclusive.

Contributed by: Chris Boucher (March 2011)

Open content licensed under CC BY-NC-SA

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"The Central Limit Theorem"

http://demonstrations.wolfram.com/TheCentralLimitTheorem/

Wolfram Demonstrations Project

Published: March 7 2011