Mastering Box Plots
Mathematics
Year 9
1 questions
~2 mins
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About This Worksheet
A worksheet covering Box Plots for Year 9 students, focusing on understanding, interpreting, and applying box plot concepts.
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Mastering Box Plots
Subject: MathematicsGrade: Year 9
Name:
Date:
Untitled Worksheet
Grade Year 9
A
Introduction
Review the key concepts of box plots before attempting the questions.
1.
What are the five key summary statistics represented in a box plot?
[2 marks]B
Procedural / Fluency Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Given the data set: 3, 5, 7, 8, 9, 10, 12. Draw the box plot for this data.
[3 marks]2.
Identify the median, lower quartile, and upper quartile of the data set: 2, 4, 7, 9, 10, 12, 15.
[3 marks]3.
Calculate the interquartile range (IQR) for the data set: 1, 3, 4, 6, 8, 9, 11.
[2 marks]4.
Determine the minimum and maximum values for the data set: 5, 7, 8, 12, 13, 15.
[2 marks]5.
Draw a box plot for the data set: 10, 12, 15, 18, 20, 22, 25.
[3 marks]C
Reasoning / Problem-Solving Questions
Answer all questions. Show your reasoning in the grid spaces.
1.
A box plot shows that the median of data is 50, with quartiles at 40 and 60. What does this tell you about the data distribution?
[3 marks]2.
If a data set has an interquartile range of 20 and a median of 70, what is the approximate range of the data if the minimum is 55?
[3 marks]3.
A box plot has an outlier at 100, which is much higher than the upper quartile. What does this imply about the data?
[3 marks]4.
Given two box plots, one with a wider interquartile range than the other, what can you infer about the variability of the two data sets?
[3 marks]5.
Explain how outliers can affect the interpretation of a box plot.
[4 marks]D
Challenge / Real-world Application
Attempt these questions to challenge your understanding and apply box plots to real scenarios.
1.
A school recorded the number of hours students spend on homework each week. The box plot shows a median of 5 hours, with quartiles at 3 and 7 hours. The maximum value is 12 hours. What can you conclude about the homework habits of students?
[4 marks]2.
A company tracks daily sales figures. The box plot shows a median of $2000, with an interquartile range of $1500 to $2500, and potential outliers at $500 and $4000. What does this indicate about sales variability?
[4 marks]Quick Actions
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Details
- Created
- 12/30/2025
- Updated
- 12/30/2025
- Type
- worksheet