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Math Help - Average Absolute Deviation (find the minimum)

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    Average Absolute Deviation (find the minimum)

    S_n(x)=\frac 1n\sum_{i=1}^n|x_i-x| \Longleftrightarrow f(x)=nS_n(x)=\sum_{i=1}^n|x_i-x|
    Prove that it has the minimum when x is the median.
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