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