Mean Absolute Deviation for grouped data

Use this calculator to find the Mean Absolute Deviation for grouped (raw) data.

Mean Absolute Deviation Calculator
Type of Freq. Dist. DiscreteContinuous
Enter the Classes for X (Separated by comma,)
Enter the frequencies (f) (Separated by comma,)
Results
Number of Obs. (n):
Sample Mean : ($\overline{x}$)
Mean Absolute Deviation : (MAD)

Mean Absolute Deviation

Let $x_i, i=1,2, \cdots , n$ be $n$ observations then the mean of $X$ is denoted by $\overline{x}$ and is given by $$ \begin{aligned} \overline{x}& =\frac{1}{N}\sum_{i=1}^{n}f_ix_i. \end{aligned} $$ where $N = \sum_{i=1}{n} f_i$.

The mean absolute deviation about mean is denoted by MAD and is given by $$ \begin{aligned} MAD & =\frac{1}{N}\sum_{i=1}^{n}f_i|x_i -\overline{x}| \end{aligned} $$

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