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Find the mean for the data items in the given frequency distribution. \begin{tabular}{|l|l|l|l|l|l|l|l|l|} \hline Score, $\mathbf{x}$ & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 \\ \hline Frequency, $\mathbf{f}$ & 3 & 6 & 2 & 5 & 3 & 1 & 3 & 2 \\ \hline \end{tabular}
The mean is $\square$ (Round to 3 decimal places as needed.)