Dispersion

By Levi Clancy for Student Reader on
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TermOverview

Range

This can either be presented by giving the minimum and maximum (ie, 100 to 150) or just the amount between (ie, 50).

Population Variance
σ2

σ2 = (Σ(x-µ)2)/N

Population Standard Deviation (σ)

σ = √σ2

Sample Variance

Sample Standard Deviation

Empirical Rule

Interquartile Range

Interquartile Division

Mean absolute deviation

Mean absolute deviation from the mean measures dispersion but not often used. Mathematically better is the sample standard deviation, which is the square root of the sample variance. MAD = [ Σ | X - X | ] / n