Mastering Histograms
Mathematics
GCSE Foundation
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About This Worksheet
A worksheet covering Histograms for GCSE Foundation students, focusing on understanding and applying histograms in probability and statistics.
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Mastering Histograms
Subject: MathematicsGrade: GCSE Foundation
Name:
Date:
Untitled Worksheet
Grade GCSE Foundation
A
Introduction
Review the key concept: A histogram displays data distribution using bars where the height represents frequency or relative frequency. The area of each bar corresponds to the class's frequency.
B
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
A histogram shows the number of students scoring within certain ranges. If the bar for scores 50-59 reaches a height of 8 and the class width is 10, what is the frequency of students in this range?
[2 marks]2.
Identify which of the following is a correct interpretation of a histogram: A) Displays individual data points, B) Shows frequency of data in class intervals, C) Shows mean and median directly.
[1 mark]AA
BB
CC
3.
If a histogram has a tall, narrow bar followed by a short, wide bar, what can you say about the data distribution?
[2 marks]4.
Calculate the total number of students represented by a histogram with 5 bars, heights 4, 6, 8, 5, and 7, with class width 10, assuming each bar's height represents frequency.
[3 marks]5.
A histogram shows that most data is concentrated in the middle ranges. What does this suggest about the data distribution?
[2 marks]6.
Given a histogram where the total area of bars sums to 60, and the total number of data points is 120, what is the approximate relative frequency of the class represented?
[3 marks]7.
Explain how the width of bars affects the shape and interpretation of a histogram.
[4 marks]8.
A histogram shows a bimodal distribution with two peaks. What can be inferred about the data?
[2 marks]9.
Using the histogram with class intervals 0-10, 10-20, 20-30, and 30-40, and heights 3, 7, 5, and 2 respectively, calculate the probability that a randomly selected data point is from the 10-20 interval.
[3 marks]10.
A real-world scenario: A histogram shows the distribution of daily rainfall over a month. The highest bar corresponds to the 10-20mm range. What insights can be drawn about the weather pattern?
[4 marks]Quick Actions
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Details
- Created
- 12/30/2025
- Updated
- 12/30/2025
- Type
- worksheet