# Statistics note

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## Median of Absolute Deviation (MAD)

Consider the absolute deviation of each observation from the Median of the data set \begin{align} \DeclareMathOperator{\Med}{Med} |x_i - \Med_n| \end{align}

The Median of Absolute Deviation is defined as the median of the above definition

\begin{align} MAD = \Med(|x_1 - \Med_n|, |x_2 - \Med_n|, \dots, |x_n - \Med_n| ) \end{align}