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people who are very wealthy or very poor know their "place"

They could hardly not, given that they're at the left and right walls. Also, at the stratospherically high incomes, percentile is little better than decile as a precise measure of relative wealth.

I'd be interested to see the same graph re-scaled using a probability scale, such that zero and 100% are at infinity. Will the rich and poor look as accurate as they do on the more bounded linear scale?


I agree looking at percentiles would be meaningful. But because of the upper/lower bounds, the variance at the extremes has got to be smaller than that in the middle of the distribution.

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