Five-number Summary: Problem Solving & Reasoning
Mathematics
Grade 6
12 questions
~24 mins
1 views0 downloads
About This Worksheet
A worksheet focused on understanding and applying the Five-number Summary to interpret data sets, with varied question types including calculations, problem solving, and real-world contexts.
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Five-number Summary: Problem Solving & Reasoning
Subject: MathematicsGrade: Grade 6
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Untitled Worksheet
Grade Grade 6
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
List the five numbers in the summary for the data set: 12, 7, 9, 15, 10, 8, 14.
[2 marks]2.
Calculate the median of the data set: 22, 18, 20, 25, 19, 21.
[2 marks]3.
Identify the minimum and maximum values in the data set: 35, 42, 37, 40, 38, 36.
[2 marks]4.
Plot the Five-number Summary for the data set: 5, 7, 9, 12, 15, 18, 20.
[3 marks]5.
Explain why the median is a better measure of center than the mean for data with outliers.
[4 marks]6.
A set of data has the following five-number summary: 10, 15, 18, 22, 30. Construct the box plot and describe what it tells you about the data distribution.
[4 marks]7.
Identify the correct order of the five numbers for the data set: 45, 50, 55, 60, 65.
[2 marks]8.
Given the data set: 8, 12, 14, 16, 24, 28, find Q1 and Q3 and explain their significance.
[3 marks]9.
A data set has a median of 50, Q1 of 40, and Q3 of 60. What is the interquartile range (IQR)?
[2 marks]10.
Identify a common mistake students make when calculating the five-number summary and suggest how to avoid it.
[3 marks]11.
Calculate the five-number summary for the data set: 3, 8, 7, 5, 9, 4, 6.
[3 marks]12.
For the data set: 10, 12, 14, 16, 18, 20, 22, identify the median and the interquartile range.
[3 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet