How to Calculate Median When N 3

When you have exactly three numbers, calculating the median is straightforward. This guide explains the simple process and provides an interactive calculator to help you find the median of any three values.

What is the median?

The median is the middle value in a list of numbers ordered from smallest to largest. For an odd number of observations, it's the central number. For an even number, it's the average of the two central numbers. When you have exactly three numbers (n = 3), the median is simply the middle number in the ordered list.

Key point: With three numbers, the median is always the second number when arranged in order.

Median formula

For three numbers (a, b, c), the median is:

Median = middle value of (a, b, c) when ordered

This means you first arrange the three numbers in ascending order, then select the second number in the sequence.

Step-by-step calculation

List your three numbers in any order.
Arrange them from smallest to largest.
Select the middle number (the second number in the ordered list).

That's it! The selected number is your median.

Worked example

Let's find the median of 7, 3, and 5:

Original numbers: 7, 3, 5
Ordered numbers: 3, 5, 7
Median: 5 (the middle number)

In this case, the median is 5.

FAQ

What if two numbers are the same?: If two numbers are identical, the median is still the middle number in the ordered list. For example, the median of 2, 2, 5 is 2.
Can the median be a decimal?: Yes, if you have three numbers where the middle number isn't between the other two, the median can be a decimal. For example, the median of 1, 2.5, 4 is 2.5.
Is the median always one of the original numbers?: Yes, with three numbers, the median will always be one of the original numbers you provided.
How does the median differ from the mean?: The median represents the middle value, while the mean is the average of all numbers. The median is less affected by extreme values than the mean.