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 \[157.92\]