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Box plots
AQA GCSE Mathematics practice questions with step-by-step solutions
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Sample Questions
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EasyQuestion 1
[2 marks]A box plot has:
- Minimum = 15
- Lower quartile = 28
- Median = 35
- Upper quartile = 44
- Maximum = 62
Find the interquartile range and the range.
Solution for Question 1
MediumQuestion 2
[3 marks]Two classes took the same test. Their box plots show:
Class A: Median = 58, IQR = 20
Class B: Median = 52, IQR = 12
Compare the two distributions. Give two comparisons.
Solution for Question 2
HardQuestion 3
[4 marks]The box plot for a set of data shows:
- Minimum = 10
- LQ = 25
- Median = 35
- UQ = 50
- Maximum = 80
There are 60 values in the data set.
(a) How many values are between 25 and 50?
(b) How many values are less than 35?
Solution for Question 3
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Generate Unlimited QuestionsAbout Box plots in AQA GCSE
Box plots (box-and-whisker diagrams) display five key values: minimum, lower quartile (LQ), median, upper quartile (UQ), and maximum. The box spans from LQ to UQ (the interquartile range), with a line at the median. Whiskers extend to the minimum and maximum.
Box plots are excellent for comparing distributions. A longer box means more spread in the middle 50% of data. If the median line is off-centre within the box, the data is skewed.
To draw a box plot, you need the five-figure summary. From a cumulative frequency curve, read LQ at n/4, median at n/2, UQ at 3n/4. The minimum and maximum are often given directly.
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