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Consider a set ofnpointsX=x1, , xnin somed-dimensional space, and distance functiond(xi,xj) =L2(xi,xj). Letx be thed-dimensional vector that is the mean of all the vectors inX.

Consider a set ofnpointsX=x1, , xnin somed-dimensional space, and distance functiond(xi,xj) =L2(xi,xj). Letx be thed-dimensional vector that is the mean of all the vectors inX. Prove thatx minimizes

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