The mean absolute deviation for ungrouped data

Let $x_i, i=1,2, \cdots , n$ be $n$ observations. The mean of $X$ is denoted by $\overline{x}$ and is given by $$ \begin{eqnarray*} \overline{x}& =\frac{1}{n}\sum_{i=1}^{n}x_i \end{eqnarray*} $$

Formula:

$MAD =\dfrac{1}{n}\sum_{i=1}^{n}|x_i -\overline{x}|$

where,

  • $n$ total number of observations
  • $\overline{x}$ sample mean

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