Standard Deviation

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It is the square root of the Variance. It is often more convenient than the variance because it has the same unit as the data points.

Population Standard Deviation, σ=1nin(xiμ)2\sigma=\sqrt{\frac{1}{n}}\sum_i^n(x_{i}-\mu)^2

Sample Standard Deviation, σ=11nin(xix)2\sigma=\sqrt{\frac{1}{1-n}}\sum_i^n(x_{i}-\overline{x})^2

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