 standard deviation

a measure of dispersion in a frequency distribution, equal to the square root of the mean of the squares of the deviations from the arithmetic mean of the distribution.[192025]
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in statistics, a measure of the variability (dispersion or spread) of any set of numerical values about their arithmetic mean (average; denoted by μ). It is specifically defined as the positive square root of the variance (σ^{2}); in symbols, σ^{2} = Σ(x_{i} − μ)^{2}/n, where Σ is a compact notation used to indicate that as the index (i) changes from 1 to n (the number of elements in the data set), the square of the difference between each element x_{i} and the mean, divided by n, is calculated and these values are added together.* * *
Universalium. 2010.
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