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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.
6
votes
Why do US and UK Schools Teach Different methods of Calculating the Standard Deviation?
This is Bessel's Correction. The US version is showing the formula for the sample standard deviation, where the UK version above is the standard deviation of the sample.
102
votes
Why square the difference instead of taking the absolute value in standard deviation?
One way you can think of this is that standard deviation is similar to a "distance from the mean".
Compare this to distances in euclidean space - this gives you the true distance, where what you su …