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It's actually not that difficult to turn a multidimensional measurement into a scalar quantiry; just represent the measurement as a vector composed of the deviation from median on each axis, then find the magnitude of the vector

But you're right that this doesn't tell you much about any of the individual dimensions. Maybe adding a variance across dimensions, so two numbers, would be more useful.




Of course, but you first you want to find the most accurate representation, then reduce it to something simpler as required.




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