Question:
Find the mean deviation about the mean for the data
Solution:
The following table is formed.
Here, $N=\sum_{i=1}^{6} f_{i}=100, \sum_{i=1}^{6} f_{i} x_{i}=12530$
$\therefore \overline{\mathrm{x}}=\frac{1}{\mathrm{~N}} \sum_{\mathrm{i}=1}^{6} \mathrm{f}_{\mathrm{i}} \mathrm{x}_{\mathrm{i}}=\frac{1}{100} \times 12530=125.3$
M.D. $(\bar{x})=\frac{1}{N} \sum_{i=1}^{6} f_{i}\left|x_{i}-\bar{x}\right|=\frac{1}{100} \times 1128.8=11.28$