Σfx/Σf: Error Analysis & Misconceptions
Mathematics
Grade 6
10 questions
~20 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on calculating and understanding the Estimated Mean using Σfx/Σf, including common mistakes and real-world applications.
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Σfx/Σf: Error Analysis & Misconceptions
Subject: MathematicsGrade: Grade 6
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Untitled Worksheet
Grade Grade 6
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the estimated mean for the following grouped data:
Class intervals: 10-14, 15-19, 20-24
Frequencies: 5, 8, 7
[3 marks]2.
A class interval 30-34 has a frequency of 12. What is the mid-point of this class?
[1 mark]3.
The class intervals are 5-9, 10-14, 15-19, with frequencies 4, 10, 6 respectively. Calculate Σfx.
[3 marks]4.
If a student mistakenly uses the lower boundaries of class intervals instead of midpoints to calculate the estimated mean, what error do they make? Briefly explain.
[2 marks]5.
Given the data:
Class intervals: 0-4, 5-9, 10-14
Frequencies: 3, 7, 5
Calculate the estimated mean using Σfx/Σf.
[3 marks]6.
A mistake was made where the class midpoint for 20-24 was taken as 25 instead of 22. How would this affect the estimated mean?
[2 marks]7.
Construct a grouped frequency table for data with class intervals 0-10, 10-20, 20-30 and corresponding frequencies 4, 6, 10. Calculate the estimated mean.
[4 marks]8.
Explain why using the wrong class midpoints in the calculation of Σfx can lead to incorrect estimates of the mean.
[2 marks]9.
Difficult: The class intervals are 5-9, 10-14, 15-19, with frequencies 4, 10, 6. Calculate the estimated mean and identify any potential source of error if the data was rounded or truncated.
[4 marks]10.
A student incorrectly calculated Σfx as 150 instead of the correct value. Their total frequency is 12. What is the likely mistake, and what would be the correct estimated mean?
[3 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet