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Notes

Central Limit Theorem

Alex Burden Further Mathematics A-Levels English 1 page

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Page 1

Let X be any random variable with mean μ and variance σ^2.

Let X̅ be the mean of a random sample of n independent observations of X.

NB: This does NOT have to be from a Normal Distribution.

Providing n is large (>30), X̅ is approximately normally distributed with mean μ and variance σ^2/n.

X̅~N(μ,σ^2/n)

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A-Levels Further Mathematics Note on Central Limit Theorem, created by Alex Burden on 30/03/2017.
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Alex Burden · Mar 2017
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Mar 30, 2017
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