Standard Deviation and Variance in Statistics
In statistics, measures of dispersion quantify the variability and spread within a dataset around its central tendency. The standard deviation is formally defined as the root mean square (quadratic) distance between individual data points $x_i$ and their arithmetic mean $\bar{x}$, while variance represents this metric squared ($s^2 = \sigma^2$). These metrics belong to descriptive statistics and serve to distinguish how tightly data clusters around a central value versus how widely it is distributed.
Standard Deviation and Variance in Statistics
In statistics, measures of dispersion quantify the variability and spread within a dataset around its central tendency. The standard deviation is formally defined as the root mean square (quadratic) …