Central limit theorem

Question

29 Jul 2023

Answer :

Word Count : 390

The Central Limit Theorem (CLT) is a fundamental concept in statistics and probability theory. It states that, under certain conditions, the sample means of a large number of independent and identically distributed (iid) random variables will follow an approximately normal distribution, regardless of the shape of the original population distribution.

The central limit theorem has several key components:

1. Independence: The random variables in the sample must be independent, meaning that the value of one variable does not affect the value of another. This assumption allows for the application of mathematical properties that simplify the analysis.

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