Inter-quartile range (IQR) - GCSE Maths Definition

Reviewed by: Dan Finlay

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The interquartile range (IQR) is a way to measure how spread out the middle half of a set of numbers is.

To find the IQR, you first need to arrange all the numbers in order. Then you identify the lower quartile (Q1), which is the value at the first quarter of your data set, and the upper quartile (Q3), which is the value at the third quarter. The IQR is the difference between Q3 and Q1.

This range helps you understand how much the middle values of your data vary, and is useful for spotting any unusually high or low numbers, known as outliers.

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Dan Finlay

Reviewer: Dan Finlay

Expertise: Maths Subject Lead

Dan graduated from the University of Oxford with a First class degree in mathematics. As well as teaching maths for over 8 years, Dan has marked a range of exams for Edexcel, tutored students and taught A Level Accounting. Dan has a keen interest in statistics and probability and their real-life applications.

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