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Central Limit Theorem Explained in Layman's Terms

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Could you please explain Central Limit Theorem to me in layman's terms and then read the article linked below and detail how it was used therein? Thank you.

http://www.tandfonline.com/doi/abs/10.1080/02664761003692308?journalCode=cjas20#.UdSZ1fnVCuk

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Central limit theorem is explained in layman's terms.

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Central limit theorem: If number of independent random variables is very large, their distribution tends to become nearly normal distribution. E.g., If we have a have coin and tossed twice or thrice or so forth, ...

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