Mastering Box Plots
Mathematics
GCSE Foundation
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A worksheet covering Box Plots for GCSE Foundation students.
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Mastering Box Plots
Subject: MathematicsGrade: GCSE Foundation
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Date:
Untitled Worksheet
Grade GCSE Foundation
A
Introduction
Review the key concepts of box plots. Remember that a box plot displays the minimum, first quartile (Q1), median (Q2), third quartile (Q3), and maximum of a data set.
B
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Given the data set: 3, 7, 8, 5, 12, 9, 4, 11, 6, 10. Construct the corresponding box plot.
[3 marks]2.
Identify the median, Q1, and Q3 of the data set: 15, 20, 22, 17, 19, 21, 23, 16.
[3 marks]3.
What is the range of the data set: 8, 12, 15, 10, 20?
[2 marks]4.
Calculate the interquartile range (IQR) for the data: 5, 7, 8, 12, 14, 16, 18.
[3 marks]5.
A box plot shows Q1=10, median=15, Q3=20, minimum=5, maximum=25. What is the length of the box?
[2 marks]6.
Compare two data sets: Set A has Q1=5, median=8, Q3=12; Set B has Q1=7, median=9, Q3=15. Which set has a wider interquartile range?
[2 marks]7.
A student’s test scores are summarized in a box plot with median=75, Q1=68, Q3=82, minimum=60, maximum=90. If another student scores 95, how does this affect the box plot?
[4 marks]8.
The data set: 22, 24, 26, 28, 30, 32, 34. Draw the box plot and explain what the median and quartiles tell you about the data.
[4 marks]9.
A box plot shows a median of 50, Q1 of 40, Q3 of 60, minimum of 35, and maximum of 65. If the minimum increases to 45, how does the box plot change?
[2 marks]10.
In a real-world scenario, the heights of plants in two different gardens are summarized with box plots. Garden A has a median height of 150cm, Q1=140cm, Q3=160cm. Garden B has median=155cm, Q1=145cm, Q3=165cm. Which garden has more variability in plant heights?
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- Created
- 12/30/2025
- Updated
- 12/30/2025
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