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Central Limit Theorem Explained in Layman's Terms

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: 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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Central limit theorem is explained in layman's terms.

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