Statistics & Probability
Intermediate

Interquartile Range

The spread of the middle 50% of the data.

Formula

IQR=Q3Q1IQR = Q_3 - Q_1

Variables

Q_1First quartile
Q_3Third quartile

Example

If Q₁ = 20 and Q₃ = 35, the interquartile range is 35 − 20 = 15.

Did You Know?

The interquartile range is the backbone of the box plot and a robust way to spot outliers.