Solution:-

Draw a table of the given data and append other columns after calculations.

The sum of calculated data,

N= \[\sum\limits_{i=1}^{6}{{{f}_{i}}=100}\], \[\sum\limits_{i=1}^{6}{{{f}_{i}}{{x}_{i}}=12530}\]

Find Mean(\[\overline{x}\])

\[\overline{x}\] = \[\frac{1}{N}\sum\limits_{i=1}^{6}{{{f}_{i}}{{x}_{i}}=\frac{1}{100}\times 12530}\]=\[125.3\]

So, \[\sum\limits_{i=1}^{6}{{{f}_{i}}\left| {{x}_{i}}-\overline{x} \right|=1128.8}\]

And Mean Deviation M.D(\[\overline{x}\]) = \[\frac{1}{N}\sum\limits_{i=1}^{6}{{{f}_{i}}\left| {{x}_{i}}-\overline{x} \right|}\]

=\[(1/100)\times 1128.8\]

= \[11.28\]

Therefore, the mean deviation about the mean is \[11.28\]