how do you find the median with even numbers

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:

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

    Median=�1+�22

Here’s an example to illustrate the process:

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

  1. Sort the numbers: 10, 20, 30, 40.
  2. Identify the middle numbers: �1=20 and �2=30.
  3. Calculate the median: Median=20+302=502=25

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

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