Grouped Data: Challenge & Extension
Mathematics
Grade 7
11 questions
~22 mins
1 views0 downloads
About This Worksheet
This worksheet explores grouped data with a focus on identifying the modal class, calculating frequencies, and applying concepts to real-world situations. Designed for extension, it includes challenging problems to deepen understanding.
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Full preview • 11 questions
Grouped Data: Challenge & Extension
Subject: MathematicsGrade: Grade 7
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Untitled Worksheet
Grade Grade 7
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
In a grouped frequency distribution, the class intervals are 10-20, 20-30, 30-40, and 40-50 with respective frequencies 8, 15, 12, and 5. Find the modal class.
[2 marks]2.
Calculate the class midpoints for the intervals: 0-10, 10-20, 20-30, 30-40.
[3 marks]3.
Using the data: 5-15 (10), 15-25 (20), 25-35 (15), 35-45 (10). Which class has the highest frequency? How does this relate to the modal class?
[3 marks]4.
Construct a bar graph to represent the following grouped data: Class intervals 0-10, 10-20, 20-30, 30-40 with frequencies 4, 9, 6, 3.
05.
A class interval from 50-60 has a frequency of 7, and from 60-70 has a frequency of 12. Which is the modal class if these are part of a larger grouped frequency table?
[2 marks]6.
A grouped frequency distribution shows the class 20-30 with a frequency of 18, and the class 30-40 with a frequency of 22. Which class is the mode, and why?
[3 marks]7.
The class intervals are 0-5, 5-10, 10-15, 15-20 with frequencies 3, 7, 12, 8. Find the modal class and explain how you identified it.
[3 marks]8.
A grouped data table shows the modal class as 25-35. The class frequency is 14. If the total number of data points is 70, what percentage of data falls into this class?
[3 marks]9.
Identify and correct the mistake: A student claims that the modal class is always the class with the highest midpoint value in a grouped frequency distribution.
[3 marks]10.
In a grouped frequency table, the class 40-50 has a frequency of 6, and 50-60 has a frequency of 9. The total number of data points is 60. Calculate the relative frequency of each class and identify the modal class.
[4 marks]11.
A data set has the following class intervals and frequencies: 0-10 (5), 10-20 (12), 20-30 (20), 30-40 (8). Calculate the approximate mode class and explain your reasoning.
[4 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.
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet