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

Examples of central limit theorem in a Sentence

Recent Examples on the Web Many discrete genes of moderate to small effect upon a trait can produce a continuous distribution via the central limit theorem. Razib Khan, Discover Magazine, 12 June 2013

These examples are programmatically compiled from various online sources to illustrate current usage of the word 'central limit theorem.' Any opinions expressed in the examples do not represent those of Merriam-Webster or its editors. Send us feedback about these examples.

Word History

First Known Use

1931, in the meaning defined above

Time Traveler
The first known use of central limit theorem was in 1931

Dictionary Entries Near central limit theorem

Cite this Entry

“Central limit theorem.” Merriam-Webster.com Dictionary, Merriam-Webster, https://www.merriam-webster.com/dictionary/central%20limit%20theorem. Accessed 14 Jul. 2024.

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