A trader takes a sample of 50 eggs and weighs them. The following table gives his findings : \be...

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A trader takes a sample of 50 eggs and weighs them. The following table gives his findings :
\begin{tabular}{|l|c|c|c|c|c|c|c|}
\hline Weight of eggs \( ( \) in \( \mathrm{g}) \) & \( 80-84 \) & \( 85-89 \) & \( 90-94 \) & \( 95-99 \) & \( 100-104 \) & \( 105-109 \) & \( 110-114 \) \\
\hline Frequency & 2 & 6 & 12 & 14 & 10 & 5 & 1 \\
\hline
\end{tabular}
Calculate the mean weight to the nearest \( g \).
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