Mastering Cumulative Frequency
Mathematics
Grade 8
0 questions
0 views0 downloads
About This Worksheet
A worksheet covering Cumulative Frequency for Grade 8 students, including procedural and reasoning questions to deepen understanding.
Topics covered:
Worksheet Preview
Full preview • 0 questions
Mastering Cumulative Frequency
Subject: MathematicsGrade: Grade 8
Name:
Date:
Untitled Worksheet
Grade Grade 8
A
Introduction
Review the concept of cumulative frequency: it is the running total of frequencies up to a certain class interval. The formula for cumulative frequency at a point is the sum of all frequencies up to that point.
B
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Given the frequency table below, calculate the cumulative frequency for the class interval 20-29.
Class Interval | Frequency
----------------|----------
10-19 | 5
20-29 | 8
30-39 | 12
40-49 | 7
[2 marks]2.
Complete the cumulative frequency table for the following data:
Class Interval | Frequency | Cumulative Frequency
----------------|-----------|----------------------
0-9 | 4 | ?
10-19 | 6 | ?
20-29 | 10 | ?
30-39 | 8 | ?
[3 marks]3.
Calculate the total number of data points represented in the following cumulative frequency table:
Class Interval | Frequency | Cumulative Frequency
----------------|-----------|----------------------
0-9 | 3 | 3
10-19 | 7 | 10
20-29 | 5 | 15
30-39 | 4 | 19
[2 marks]4.
Plot a rough cumulative frequency graph for the data:
Class Intervals: 0-10, 10-20, 20-30, 30-40
Cumulative Frequencies: 5, 15, 25, 30
[3 marks]5.
Explain how you can estimate the median class from a cumulative frequency table.
[2 marks]6.
In a data set, the cumulative frequency up to class 20-29 is 15, and the total frequency is 40. What is the median class?
[2 marks]7.
A group of students’ test scores are grouped into classes. The cumulative frequency reaches 40 at 75 marks. If the total number of students is 80, what can you say about the median score?
[4 marks]8.
Describe one real-world scenario where cumulative frequency tables are useful.
[2 marks]9.
Given the following data, find the value of the 75th percentile:
Class Interval | Frequency
----------------|----------
0-10 | 10
10-20 | 15
20-30 | 20
30-40 | 5
[3 marks]10.
Explain how cumulative frequency graphs can help identify the most common data range in a dataset.
[2 marks]Quick Actions
What is Remix?
Create a new worksheet based on this one. Change the grade level, topic, number of questions, or difficulty - then generate a fresh version.
- • Change grade level (Grade 6 → Grade 7)
- • Swap topics (Harry Potter → Macbeth)
- • Add more questions (10 → 15)
- • Adjust difficulty
Related Worksheets
Details
- Created
- 12/30/2025
- Updated
- 12/30/2025
- Type
- worksheet