Mastering Box Plots
Mathematics
GCSE Foundation
5 questions
~10 mins
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About This Worksheet
A worksheet covering Box Plots for GCSE Foundation students, focusing on understanding, interpretation, and application of box plots.
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Mastering Box Plots
Subject: MathematicsGrade: GCSE Foundation
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Date:
Untitled Worksheet
Grade GCSE Foundation
A
Introduction to Box Plots
Read the explanation below before attempting the questions.
1.
A box plot displays the minimum, first quartile (Q1), median (Q2), third quartile (Q3), and maximum of a data set. Which five key values are represented in a box plot?
[1 mark]2.
What is the purpose of a box in a box plot?
[1 mark]3.
True or False: The length of the box in a box plot represents the range of the data.
[1 mark]4.
Which statistical measures are typically used to create a box plot?
[1 mark]5.
Calculate the median of the data set: 3, 7, 8, 5, 12, 14, 21.
[2 marks]B
Procedural Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Construct a box plot for the data: 2, 4, 7, 9, 10, 12, 15. Identify Q1, median, Q3, minimum, and maximum.
[3 marks]2.
Given a box plot with Q1=10, median=15, Q3=20, minimum=5, and maximum=25, what is the interquartile range (IQR)?
[2 marks]3.
Identify the median, Q1, and Q3 of the following data set: 5, 8, 12, 14, 16, 20, 22.
[3 marks]4.
A box plot shows Q1=25, median=30, Q3=40, minimum=10, maximum=50. What is the range of the data?
[2 marks]5.
Explain what it indicates if the median line is closer to Q1 than to Q3 in a box plot.
[3 marks]C
Reasoning and Application
Use your understanding of box plots to answer these questions.
1.
Compare two data sets: Data Set A has Q1=20, median=25, Q3=30; Data Set B has Q1=15, median=20, Q3=25. Which data set shows greater variability?
[2 marks]2.
A box plot shows a very short box with Q1 and Q3 close together and the median near Q1. What does this tell you about the data distribution?
[3 marks]3.
If a data set has a large difference between Q1 and Q3, what can you say about the spread of the data?
[2 marks]4.
A box plot shows the median at the lower end of the box. What can you infer about the data set?
[3 marks]5.
Describe a real-world scenario where analyzing box plots might help in decision making.
[3 marks]D
Challenge and Real-World Application
Attempt these questions to challenge your understanding and apply box plot concepts in real-life situations.
1.
A company records the delivery times (in minutes) for 50 packages. The box plot shows Q1=35, median=45, Q3=55, minimum=20, maximum=70. What is the interquartile range, and what does it tell you about the delivery times?
[3 marks]2.
Suppose two schools have box plots for students' math scores. School A's box plot shows a median of 78 with Q1=70 and Q3=85. School B's box plot shows a median of 76 with Q1=65 and Q3=80. Which school has more consistent scores, and why?
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- Created
- 12/30/2025
- Updated
- 12/30/2025
- Type
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