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Labeled box plot on a number line with minimum 8, lower quartile 18, median 27, upper quartile 39, maximum 52, and brackets showing range 44 and IQR 21

A distribution is the way a set of data values is spread out. A box plot is a quick way to show that spread on a number line. It uses the five-number summary: minimum, lower quartile Q1Q_1Q1​, median, upper quartile Q3Q_3Q3​, and maximum.

The whiskers run from the box to the minimum and maximum. The box goes from Q1Q_1Q1​ to Q3Q_3Q3​, and the line inside the box marks the median.

To measure spread, use range=maximum−minimum\text{range} = \text{maximum} - \text{minimum}range=maximum−minimum and IQR=Q3−Q1\text{IQR} = Q_3 - Q_1IQR=Q3​−Q1​. The IQR describes the middle 50% of the data, so it is often more useful than the range when comparing box plots.

Questions

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28 exam-style questions

Practice questions

Question 1

2 marks

The table shows some information about the heights, in cm, of some plants.

MinimumLower QuartileMedianUpper QuartileMaximum
1128374251

Box Plots Revision Guide

  1. GCSE
  2. /Maths
  3. /Box Plots

Revision notes for OCR GCSE Maths Box Plots: explanations and worked examples.

Revision guides

Practise questions

1 of 5

A box plot has a minimum of 666, lower quartile 141414, median 222222, upper quartile 313131 and maximum 404040. What is the interquartile range?