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Not if there's exactly one person of exactly average intelligence. :-)


Or any odd number :)


You're right that if the set is of {99,100,101} then of course 100 falls into neither category and each category has cardinality 1, but we're talking about real-valued variables, so I don't think that's a worry. I imagine it happens 'almost never' (except where n=1).

[0] https://en.wikipedia.org/wiki/Almost_never


Good point :-P




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