Consider a set of n numbers, and let their arithmetic mean be X.(adsbygoogle = window.adsbygoogle || []).push({});

Suppose a new number Y, is added to the set. Prove that the mean of the new set, with (n+1) members, is between X and Y.

I've been trying to prove this the past few minutes, but I think I'm at a dead end. It's a problem that caught my attention during my reading statistics. Any ideas?

BiP

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# Prove relationship between average and marginal value

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