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Fair point, in my time zone it was late, I was crabby, and there was a surrounding context of "bad statistics" comments.

That said,

If the mean and median were the same your statement would still not be always true. For more than one reason.



No harm done :)

I’m interested, in what cases would it not be true if we assume “average” here to be “median”? I can only think of one: if we consider “understanding” to be discrete rather than continuous.




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