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which is the formula for a [[point estimate]] of the true standard deviation from a sample size of ''n''. As such this [[statistical estimator]] itself has a variance which, as the formula indicates, decreases as the sample size increases.
which is the formula for a [[point estimate]] of the true standard deviation from a sample size of ''n''. As such this [[statistical estimator]] itself has a variance which, as the formula indicates, decreases as the sample size increases.
It may be important to consider the standard deviation is but ''a'' measure of dispersion, and not the only one. For instance, a [[Cauchy distribution]] has an undefined standard deviation (or mean), yet a glance at its [[Probability density function | pdf]] suggests that it is not "infinitely" dispersed.