Range (Measure of Dispersion)

Topics: Measure of Dispersion - Statistics

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(definition)

Let $x_1,\dots ,x_n$ be observations of a variable $X$. The range, as a measure of dispersion, of $X$ is:

$$\mathrm{R}(X)=x_{(n)}-x_{(1)}$$

Properties §

• $\mathrm{R}(X+c)=\mathrm{R}(x)$
• $\mathrm{R}(aX)=|a|\mathrm{R}(x)$