Numbers and measures

Median

The middle value once the values are sorted.

  • Numbers and measures

Definition

The middle value once the values are sorted. Half the values are below it and half are above. Extreme values barely move it.

Example

Suppose four invoices take 20, 25, 30 and 35 days to pay. A fifth takes 180 days. The median of the five is 30 days. The mean is 58 days because of the one late payer.

See how it works

Ordered observations20, 25, 30, 35, 180
Middle observation30

Median = 30; mean = 58.

Check your understanding

Common mistake: Median means the middle ordered value, not halfway between the smallest and largest values.

What is the median of 2, 8 and 5?

Show explanation

5 after sorting the observations as 2, 5, 8.

For your role

Choose your role to see what this term means in your work.

Why it matters

It gives a truer picture than the mean when a few values are extreme.

Where it is used

Salary reports, house prices and delivery time analysis.