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The ELO system, as it was originally designed, has a mean of 1500 and a standard deviation of 400 points. The central limit theorem defines how many people can exist by this model depending on their distance from the mean. For example, a rating of 3100 is 4 standard deviations from the mean (1500 + 4 x 400 = 3100). According the central limit theorem there ...

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