Define and describe in brief standard deviation. - Vidyadip

Question

Define and describe in brief standard deviation.

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Answer

The positive square root of the sum of square of deviations of various values from their mean divided by the sample size is called standard deviation. The idea of standard deviation was first given by Karl Pearson in 1893.
Symbolically, $\sigma=\sqrt{\frac{\Sigma\text{d}^2}{\text{n}}}$
It fulfils all the requisites of a good measure of dispersion except that it is sensitive to extreme values.

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