That depends on how you measure. The higher 50% see their incomes cut in half in your example, you are only playing games with boundaries.
I've seen it in the popular press with some frequency. I don't have examples to hand, though.
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But does the press explain the methodology of the study? I'm not saying there aren't bad studies, but usually peer review catches this.
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. Banned in Sweden. SubGenius, Zhuangist, white-hat troll. Defrocked mathematician. Brain problems.