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Standard deviation is the square root of the variance of a random variable, an estimator thereof, or a similar measure of the spread of a batch of data.
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On the connection between SSE and absolute deviation from the centroids
Is there any connection between sum of squared error SSE and the absolute deviation from the centroids after clustering.
More formally, I have clustered $T=\{x_i\}, i\in\{1,\ldots,n\}$ and the result …