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Math Help - x \in [0,1]

  1. #1
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    Jul 2008
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    x in [0,1]

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

    \frac{1}{n}\sum_{i+1}^{n}|x-x_i|=\frac{1}{2}.
    Last edited by scipa; July 22nd 2008 at 07:14 PM.
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