Mastering Cumulative Frequency
Mathematics
Grade 7
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A worksheet covering Cumulative Frequency for Grade 7 students, including basic and applied questions to enhance understanding.
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Mastering Cumulative Frequency
Subject: MathematicsGrade: Grade 7
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Date:
Untitled Worksheet
Grade Grade 7
A
Introduction
Review the concept of cumulative frequency. Cumulative frequency is the running total of frequencies up to a certain class or value. Use the formula: Cumulative Frequency at a point = sum of frequencies up to that point.
B
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Given the class intervals and frequencies: 0-10 (5), 10-20 (8), 20-30 (12). Complete the cumulative frequency table.
[3 marks]2.
What is the cumulative frequency for the class 10-20?
[2 marks]3.
If the total number of students surveyed is 50, and the cumulative frequency up to 30 is 25, how many students scored more than 30?
[3 marks]4.
Explain what the cumulative frequency of 25 indicates in a data set.
[3 marks]5.
Construct a cumulative frequency table for the following data:
Scores: 50, 55, 60, 65, 70, 75
Frequencies: 3, 5, 4, 6, 2, 4
[4 marks]6.
Using the table you just constructed, what is the cumulative frequency for scores up to 65?
[2 marks]7.
A class has the following cumulative frequencies: 10, 25, 40, 55, 70. What is the frequency of the class between the cumulative frequencies 25 and 40?
[2 marks]8.
If the cumulative frequency at a certain point is 30, and the previous cumulative frequency is 20, what is the frequency for that class interval?
[2 marks]9.
A survey reports the following cumulative frequencies: 5, 12, 20, 27, 35. Find the frequency for the class between the cumulative frequencies 12 and 20.
[2 marks]10.
A teacher recorded the number of books read by students in a month. The cumulative frequency up to 4 books is 10, and up to 7 books is 22. How many students read exactly 5 or 6 books?
[3 marks]11.
Challenge: A class's scores are grouped and the cumulative frequency up to 80 is 18, up to 90 is 27, and up to 100 is 30. How many students scored between 80 and 90?
[3 marks]12.
Real-world application: A company records the number of hours employees work each week. The cumulative frequency at 40 hours is 15, at 50 hours is 25, and at 60 hours is 35. How many employees work more than 50 hours?
[3 marks]Quick Actions
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- Created
- 12/30/2025
- Updated
- 12/30/2025
- Type
- worksheet