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May 5, 2015 at 15:35 comment added whuber The fact that you have to restrict the sum of the $x_i$ suggests (correctly) that your attempt to apportion "shares" of a standard deviation is not well-defined. (See what happens if you merely re-order the $x_i$, for instance.) What analytical problem are you attempting to solve with this calculation? That is, what is the intended meaning?
May 5, 2015 at 15:31 history answered XtremeCurling CC BY-SA 3.0