Consider the following distribution of daily wages of $ 50$ workers of a factory. Find the mean daily wages of the workers of the factory by using an appropriate method.
\begin{tabular}{|l|l|l|l|l|l|}
\hline Daily wages (in Rs.) & \( 100-120 \) & \( 120-140 \) & \( 140-160 \) & \( 160-180 \) & \( 180-200 \) \\
\hline Number of workers & 12 & 14 & 8 & 6 & 10 \\
\hline
\end{tabular}