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Can someone please explain to me what the heck standard deviation
is? Yes, I've got the formula. Yes, I understand that it's a popular
measurement of deviation. But the various components of the formula seem
kind of convoluted to me, and I can't really follow the "common sense" idea
of all the parts of the formula. Why not just cut a mean through the data
and measure the average (absolute) deviations from the mean? I.e., what
is the advantage of the SD formula over a simple average deviation?
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