The stem-and-leaf plot below shows the ages of participants in a community marathon. In the stem-and-leaf plot, \( 3 \ | \ 5 \) represents an age of 35 years. What is the median age of the participants?
\begin{tabular}{c|ccccc}
2 & 4 & 5 & 7 & 9 & \\
3 & 0 & 1 & 3 & 5 & 8 \\
4 & 2 & 4 & 4 & 6 & 7 \\
5 & 0 & 1 & 3 & 4 & 5 \\
6 & 2 & 5 & 5 & & \\
\end{tabular} Let's think step by step and output the final answer within \boxed{}.
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