Question: For a given vector v Rn, the mean can be found as the solution to the optimization problem min vx12, (1) xR where 1 is

For a given vector v Rn, the mean can be found as the solution to the optimization problem min vx12, (1) xR where 1 is the vector of ones in Rn. Similarly, the median (any value x such that there is an equal number of values in v above or below x) can be found via

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