Solution:-
Draw a table of the given data and append other columns after calculations.
The sum of calculated data,
N= \[\sum\limits_{i=1}^{8}{{{f}_{i}}=50}\], \[\sum\limits_{i=1}^{8}{{{f}_{i}}{{x}_{i}}=17900}\]
Find Mean(\[\overline{x}\])
\[\overline{x}\] = \[\frac{1}{N}\sum\limits_{i=1}^{8}{{{f}_{i}}{{x}_{i}}=\frac{1}{50}\times 17900}\]=\[358\]
So, \[\sum\limits_{i=1}^{8}{{{f}_{i}}\left| {{x}_{i}}-\overline{x} \right|=7896}\]
And Mean Deviation M.D(\[\overline{x}\]) = \[\frac{1}{N}\sum\limits_{i=1}^{8}{{{f}_{i}}\left| {{x}_{i}}-\overline{x} \right|}\]
=\[(1/50)\times 7896\]
=\[157.92\]
Therefore, the mean deviation about the mean is \[157.92\]