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# What do you understand by standard deviation?

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## Define standard deviation.The standard deviation is a statistic that measures the dispersion of a dataset relative to its mean.It is calculated as the square root of the variance. The standard deviation is calculated as the square root of variance by determining each data point's deviation relative to the mean.The standard deviation is represented by $\sigma$. $\sigma =\sqrt{\frac{\sum _{i=1}^{n}{\left({x}_{i}-\overline{x}\right)}^{2}}{n-1}}$where:${x}_{i}$ is the value of the $ith$ point in the data set$\overline{x}$ is the mean value of the data set$n$ is the number of data points in the data set​

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