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I have been having problems finding the way to minimize the sum of absolute values. Specificaly im looking for the value of X that will minimize the sum|Xi-V|<-- i=1,....n . I know that V should be equal to the mean value of X. But I do not know the correct aproach to finding this minimum.

Can I square the Xi-V and differentiate? or is there another approach?

Thanks....

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# Least absolute minimization

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