central limit theorem


Definition of central limit theorem

: any of several fundamental theorems of probability and statistics that state the conditions under which the distribution of a sum of independent random variables is approximated by the normal distribution especially : one which is much applied in sampling and which states that the distribution of a mean of a sample from a population with finite variance is approximated by the normal distribution as the number in the sample becomes large

First Known Use of central limit theorem

1931, in the meaning defined above

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The first known use of central limit theorem was in 1931

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central limit theorem

central line

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Cite this Entry

“Central limit theorem.” Merriam-Webster.com Dictionary, Merriam-Webster, https://www.merriam-webster.com/dictionary/central%20limit%20theorem. Accessed 1 Dec. 2021.

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Britannica.com: Encyclopedia article about central limit theorem


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