Category:Definitions/Mean Absolute Deviation

This category contains definitions related to Mean Absolute Deviation.
Related results can be found in Category:Mean Absolute Deviation.

Let $S = \set {x_1, x_2, \ldots, x_n}$ be a set of observations.

Let $\bar x$ denote a measure of central tendency of $S$.

The mean absolute deviation with respect to $\bar x$ of $S$ is defined as the arithmetic mean of the absolute values of the deviation of the elements of $S$ from $\bar x$ :

$\ds \sum_{i \mathop = 1}^n \dfrac 1 n \size {x_i - \bar x}$