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Thread: x \in [0,1]

  1. #1
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    x in [0,1]

    Let $\displaystyle x_1, x_2, \dots, x_n$ be n real numbers in the closed interval [0,1]. Show that there exists $\displaystyle x \in [0,1]$ such that

    $\displaystyle \frac{1}{n}\sum_{i+1}^{n}|x-x_i|=\frac{1}{2}.$
    Last edited by scipa; Jul 22nd 2008 at 06:14 PM.
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