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Central limit theorem (English)

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Definition (keystage 4)

Given a distribution with mean μ and variance σ² , where the variance must be finite, if we take samples of size n with mean [X] , the distribution of this mean tends to N( μ, [(σ²)/n] ) as n → infty .

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Relations

broader:: (en) Theorem
references:: (en) Arithmetic mean; (en) Gaussian distribution; (en) Independent; (en) Random variable

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