Calculate the mean, variance and standard deviation for the following frequency distribution by ...

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Calculate the mean, variance and standard deviation for the following frequency distribution by using step deviation method :
\begin{tabular}{|l|c|c|c|c|c|c|c|}
\hline Classes & \( 30-40 \) & \( 40-50 \) & \( 50-60 \) & \( 60-70 \) & \( 70-80 \) & \( 80-90 \) & \( 90-100 \) \\
\hline Frequency & 3 & 7 & 12 & 15 & 8 & 3 & 2 \\
\hline
\end{tabular}
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