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That is absolutely not how the average works.

  1, 1, 1, 1, 11
Average is 3, all but one are below average.

Yeah, you are right. It's me jumping to conclusions too fast. I was thinking about the median, which works that way for any sequence of non-equal values.

The distribution of Childrens' performance tends to be Gaussian.

Salaries not so much...

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