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A example would be if I launched a 100 tennis balls in the air and plotted the coordinates of where each landed. I would like to be able to find the point in the center of all those coordinates.

I assume models exist for that sort of thing, any ideas?

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The point in the center of the tennis balls is the centroid. It's computed as the mean of the x coordinates of the balls and the mean of the y coordinates.

One obvious model for the centroid would be the multivariate normal model: tennis ball datapoints are distributed around the centroid with some variance and, perhaps, some nonzero correlation.

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  • $\begingroup$ Perfect, that is exactly what I was looking for. $\endgroup$ – Michael Dec 12 '14 at 4:42

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