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
$$ \begin{aligned} MAD & =\frac{1}{N}\sum_{i=1}^{n}f_i|x_i -\overline{x}| \end{aligned} $$
