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Central limit theorem - Wikipedia Central limit theorem From Wikipedia, the free encyclopedia Jump to navigation Jump to search Fundamental theorem in probability theory and statistics Central limit theorem Type Theorem Field Probability theory Statement The scaled sum of a sequence of i.i.d. random variables with finite positive variance converges in distribution to the normal distribution . Generalizations Lindeberg's CLT In probability theory , the central limit theorem ( CLT ) states that, under appropriate conditions, the distribution of a normalized version of the sample mean converges t
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