A standard six-sided die was rolled 50 times, and the outcomes are shown in the table. What is the average of the 50 outcomes? Express your answer as a decimal to the nearest hundredth. \begin{tabular}{|c|c|}
\hline
Outcome&$\#$ of Occurrences\\\hline
1&14\\\hline
2&5\\\hline
3&9\\\hline
4&7\\\hline
5&7\\\hline
6&8\\\hline
\end{tabular}
The total of the 50 outcomes is $(14 \times 1) + (5 \times 2) + (9 \times 3) + (7 \times 4) + (7 \times 5) + (8 \times 6) = 14 + 10 + 27 + 28 + 35 + 48 = 162.$ Dividing this by 50, we find that the average roll was $\boxed{3.24}$.