| Stem | \multicolumn{3}{|c|}{Leaf} | ||
| 1 | 5 | 9 | |
| 2 | 3 | 7 | 8 |
| 3 | 2 | 6 | 6 |
| 4 | 1 | 5 |
The following is a stem-and-leaf plot showing the number of push-ups performed by 10 high school students in 3 minutes.
\begin{center}
(Unit: times)\\
\begin{tabular}{ | c | r l l | }
\hline
Stem & \multicolumn{3}{|c|}{Leaf} \\
\hline
1 & 5 & 9 & \\
\hline
2 & 3 & 7 & 8 \\
\hline
3 & 2 & 6 & 6 \\
\hline
4 & 1 & 5 & \\
\hline
\end{tabular}
\end{center}
Let $m$ be the mean, $n$ be the median, and $f$ be the mode of the number of push-ups. Which of the following is correct? [3 points]\\
(1) $m < n < f$\\
(2) $m < f < n$\\
(3) $f < m < n$\\
(4) $n < m < f$\\
(5) $n < f < m$