IQR = Q3 - Q1: Fluency & Practice

Mathematics
Year 9
12 questions
~24 mins
1 views0 downloads

About This Worksheet

A worksheet focusing on calculating and understanding the Interquartile Range (IQR) = Q3 - Q1 for Year 9 students, progressing from basic computations to real-world applications and extensions.

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IQR = Q3 - Q1: Fluency & Practice

Subject: MathematicsGrade: Year 9
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Untitled Worksheet

Grade Year 9
A

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
Find Q1 and Q3 for the data set: 3, 7, 8, 5, 9, 2, 11, 4, 6.
[3 marks]
2.
Calculate the Interquartile Range (IQR) for the data set: 10, 12, 14, 16, 18, 20, 22, 24.
[2 marks]
3.
A class's test scores are: 55, 60, 65, 70, 75, 80, 85, 90. Find the IQR of their scores.
[2 marks]
4.
Construct a box plot to display the data: 4, 7, 9, 10, 12, 14, 15, 18.
[3 marks]
5.
Calculate Q1 and Q3 for the data set: 23, 26, 29, 31, 33, 36, 39, 42.
[3 marks]
6.
A dataset: 12, 15, 14, 16, 19, 21, 23, 25. Find the IQR.
[2 marks]
7.
In a data set, Q1 is 20 and Q3 is 35. What is the IQR?
[2 marks]
8.
A student's test scores: 50, 55, 60, 65, 70, 75, 80, 85. Find the IQR.
[2 marks]
9.
A data set: 5, 7, 9, 11, 13, 15, 17, 19. Calculate Q1, Q3, and IQR.
[4 marks]
10.
Identify and correct the mistake: The data set is 2, 4, 6, 8, 10. Q1 = 2, Q3=8, so IQR=6.
[3 marks]
11.
A data set: 1, 3, 3, 6, 7, 8, 9, 10. Find Q1, Q3, and the IQR.
[4 marks]
12.
Using the data set: 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, find Q1, Q3, and the IQR.
[4 marks]

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Details

Created
1/1/2026
Updated
1/1/2026
Type
worksheet