- #1
Bipolarity
- 776
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Consider a set of n numbers, and let their arithmetic mean be X.
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
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