Sample variance

Sample variance is an estimator of variance. Given a sample [eq1] of n observations, the sample variance can be computed either as[eq2]or as[eq3] where Xbar_n is the sample mean:[eq4]

When the n observations are independent, $S_{n}^{2}$ is a biased estimator of the population variance, while $s_{n}^{2}$ is unbiased.

The lecture entitled Variance estimation provides more details about the sample variance.

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