IQR = Q3 - Q1: Problem Solving & Reasoning
Mathematics
GCSE Higher
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on calculating and understanding the Interquartile Range (IQR) = Q3 - Q1, with various question types including procedural, contextual, and extension problems.
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IQR = Q3 - Q1: Problem Solving & Reasoning
Subject: MathematicsGrade: GCSE Higher
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Untitled Worksheet
Grade GCSE Higher
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the interquartile range (IQR) for the data set: 12, 15, 14, 13, 16, 18, 17, 19, 20, 21.
[2 marks]2.
Find Q1 and Q3 for the ordered data set: 8, 9, 11, 12, 13, 15, 16, 18, 20.
[3 marks]3.
What is the IQR of the data: 5, 7, 8, 10, 12, 13, 15, 16, 18?
[2 marks]4.
Plot the data set: 3, 5, 7, 9, 11, 13, 15. Use the grid to mark the positions of Q1, Q3, and the median.
[4 marks]5.
Construct a box plot on the grid for the data: 10, 12, 14, 16, 18, 20, 22, 24.
[3 marks]6.
A dataset has an IQR of 10. If Q1 is 30, what is Q3?
[2 marks]7.
A set of exam scores has Q1=65, Q3=85. Find the IQR and explain what it indicates about the data spread.
[4 marks]8.
Given the data set: 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, find Q1, Q3, and the IQR.
[3 marks]9.
A teacher records boys' heights: 140cm, 142cm, 145cm, 148cm, 150cm, 153cm, 155cm. Calculate the IQR and interpret the result.
[3 marks]10.
Identify and correct the mistake in this calculation: The data set is 10, 12, 14, 16, 18. The student claims Q1=12, Q3=16, so IQR=4.
[4 marks]11.
A data set has Q1=20 and Q3=35. The data is extended by adding a new value of 50. How does this affect the IQR?
[2 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet