Answer
The median of the numbers $20.2,27.3,35.1,30.6,29.6\text{ and }22.6$ is $28.5$.
Work Step by Step
Arrange the numbers in ascending order,
$20.2,22.6,27.3,29.6,30.6,35.1$
The two middle numbers are $a=27.3$ and $b=29.6$
Since the number of terms are even, the median is the average of the two middle numbers,
$\text{median}=\frac{a\text{+}b}{2}$
Therefore,
$\begin{align}
& \text{median}=\frac{\text{27}\text{.3+29}\text{.6}}{2} \\
& =\frac{\text{56}\text{.9}}{2} \\
& =28.45 \\
& =28.5
\end{align}$
Hence the median of the numbers $20.2,27.3,35.1,30.6,29.6\text{ and }22.6$ is $28.5$.
