Difference between revisions of "Standard deviation"
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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. | ||
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Revision as of 17:15, November 14, 2009
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This article/section deals with mathematical concepts appropriate for late high school or early college. |
Standard deviation is a measure in statistics of the dispersion of a set of values (represented as 
). It is defined as the square root of the variance of these values, where variance is defined as
where the expected value of X is E(X).
Thus the standard deviation is
The formula for standard deviation must not be confused with the formula
(where 
is the sample mean).
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.
