Finding the median of a set of numbers with an even count involves taking the average of the two middle numbers. Here’s a step-by-step guide to finding the median:

**Sort the Numbers:**Arrange the numbers in ascending order.**Identify the Middle Numbers:**For a set with an even count of numbers, there will be two middle numbers. Let’s call them $x_{1}$ and $x_{2}$.**Calculate the Median:**The median is the average of $x_{1}$ and $x_{2}$. Use the formula:$Median=2x+x $

Here’s an example to illustrate the process:

Let’s say we have the following set of numbers: 10, 20, 30, 40.

- Sort the numbers: 10, 20, 30, 40.
- Identify the middle numbers: $x_{1}=20$ and $x_{2}=30$.
- Calculate the median: $Median=2+ =250 =25$

So, the median of the set {10, 20, 30, 40} is 25.