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> You cannot have a large group of people earning a lot more than the median income without having a large group earning a lot less.

Actually you can; you can have a large group of people learning a lot more than the median income, arbitrarily more, counterbalanced by an equally large group of people earning barely less than the median income. This does in fact happen in practice and is precisely the reason the median income is so much lower than the per-capita GDP.



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