Calculate mean and std.dev from a lot of coordinates

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How do i calculate the mean coordinate and the standard deviation of a cloud of (x,y) coordinates. I know how to calculate the mean, but i am struggling with calculating the std. deviation.

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The 'center' of a data cloud is often taken as the point $(\bar X, \bar Y).$ Similarly, you probably want to find the standard deviations of X's and Y's separately.

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