The mean of the following distribution is \( 57.6 \) and the sum of all the observations is 50 ....

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The mean of the following distribution is \( 57.6 \) and the sum of all the observations is 50 . Find the missing frequencies \( f_{1} \) and \( f_{2} \) :
\begin{tabular}{|l|c|c|c|c|c|c|}
\hline Classes & \( 0-20 \) & \( 20-40 \) & \( 40-60 \) & \( 60-80 \) & \( 80-100 \) & \( 100-120 \) \\
\hline Frequency & 7 & \( f_{1} \) & 12 & \( f_{2} \) & 8 & 5 \\
\hline
\end{tabular}
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