Answer
The median of the numbers is
$\text{median}=15.5$.
Work Step by Step
$\begin{align}
& 15,12,10,9,15,22,7,23,12,8,18,22,11,30,14,18, \\
& 12,20,22,35,10,8,11,19,7,23,17,15,20,16,17,18, \\
& 22,15,20,13 \\
\end{align}$
Arrange the numbers in the ascending order,
$\begin{align}
& 7,7,8,8,9,10,10,11,11,12,12,12,13,14,15, \\
& 15,15,15,16,17,17,18,18,18,19,20,20,20 \\
& 22,22,22,22,23,23,30,35 \\
\end{align}$
The two middle numbers are $a=15$ and $b=16$
Since the number of terms are even, the median is the average of the two middle numbers as,
$\text{median}=\frac{a\text{+}b}{2}$
And,
$\begin{align}
& \text{median}=\frac{\text{15+16}}{2} \\
& =\frac{\text{31}}{2} \\
& =15.5
\end{align}$
Hence, the median of the numbers is
$\text{median}=15.5$.
