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The following are the marks obtained by 70 boys in a class test:

    \[\begin{tabular}{|l|l|} \hline Marks & No. of boys \\ \hline $30-40$ & 10 \\ \hline $40-50$ & 12 \\ \hline $50-60$ & 14 \\ \hline $60-70$ & 12 \\ \hline $70-80$ & 9 \\ \hline $80-90$ & 7 \\ \hline $90-100$ & 6 \\ \hline \end{tabular}\]

Calculate the mean by:
(i) Short – cut method
(ii) Step – deviation method

Solution:
(i) Short – cut method


Here,

(ii) Step – deviation method


Here, and