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Accuracy of an estimator is the degree of closeness of the estimates to the true value. For a classifier, accuracy is the proportion of correct classifications. (This second usage is not good practice. See the tag wiki for a link to further information.)
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Is it reasonable to measure standard deviation from true value rather than mean?
Re:"Would this be a reasonable thing to do?"
As Wuber pointed out, it depends on what you are trying to measure. GPS signals for civilians are purposely degraded to prevent GPS signals being used for …