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Let x1, x2, x3 be real numbers. The mean, x of these three numbers is defined...

Let x1, x2, x3 be real numbers. The mean, x of these three numbers is defined
to be

x = (x1 + x2 + x3)/3
.
Prove that there exists xi with 1 ≤ i ≤ 3 such that xi ≤ x.

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