# The Median

The median is the middle number of a set of data, or the average of the two middle numbers (if there are an even number of data points).

Example 1:

Find the median of the data set

$0.3,6.2,1.5,0.7,5.1,2.3,3.0$ .

The first job is to put the data in order from least to greatest.

$0.3,0.7,1.5,2.3,3.0,5.1,6.2$

Now count: there are seven data points. So the median is the middle one, the fourth number:

$2.3$

Example 2:

Find the median of the data set

$71,93,50,82,12,16,55,58$ .

Put the data in order from least to greatest.

$12,16,50,55,58,71,82,93$

Now count: there are eight data points. The middle two are $55$ and $58$ , the fourth and fifth numbers.

So, the median is the average of these two numbers.

$\begin{array}{l}\frac{55\text{\hspace{0.17em}}+\text{\hspace{0.17em}}58}{2}=\frac{113}{2}\\ =56.5\end{array}$