Calculate the Mean for the Data Listed Below in the Grouped

Short Answer

Calculate the mean for the data listed below in the grouped frequency distribution.
$$\begin{array} { | l | l | l | l | } \hline \text { group } \boldsymbol { X } & \operatorname { mid } \boldsymbol { X } & \boldsymbol { f } & \\\hline & & & \\\hline 96 - 100 & & 2 & \\\hline 91 - 95 & & 4 & \\\hline 86 - 90 & & 7 & \\\hline 81 - 85 & & 9 & \\\hline 76 - 80 & & 10 & \\\hline 71 - 75 & & 12 & \\\hline 66 - 70 & & 11 & \\\hline 61 - 65 & & 12 & \\\hline 56 - 60 & & 7 & \\\hline 51 - 55 & & 6 & \\\hline 46 - 50 & & 4 & \\\hline 41 - 45 & & 3 & \\\hline\end{array}$$