[Troll_Inc]

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You obviously don't understand what the phrase 'converges to a normal distribution' means. The weights of items from a given set don't converge or whatsoever. And nobody ever claimed that every distribution is normal.

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You don't understand the difference between mean and variance as evidenced by your post above. You start talking about variance and then even in the same paragraph all the sudden start talking about means.

I also didn't say that everything is non-normal. There are just way more non-normal distributions than normal. I already proved my argument apparently as you can't name a single normal distribution and already want to change your argument.