Σfx/Σf: Problem Solving & Reasoning
Mathematics
GCSE Foundation
10 questions
~20 mins
1 views0 downloads
About This Worksheet
A worksheet designed to develop understanding and problem-solving skills for calculating the estimated mean using Σfx/Σf with grouped data.
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Σfx/Σf: Problem Solving & Reasoning
Subject: MathematicsGrade: GCSE Foundation
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Untitled Worksheet
Grade GCSE Foundation
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Given the frequency distribution: Class interval 10-20 with frequency 15, class interval 20-30 with frequency 25, calculate the midpoints and the values of fx for each class. Then find the estimated mean.
[4 marks]2.
A grouped frequency table shows: 0-5 with 8 students, 5-10 with 12 students, 10-15 with 20 students. Calculate the estimated mean mark.
[3 marks]3.
Explain why using Σfx/Σf gives an estimate of the mean for grouped data instead of the exact mean.
[2 marks]4.
Calculate the estimated mean for the following data: Class 30-40, frequency 10; 40-50, frequency 20; 50-60, frequency 15.
[3 marks]5.
A table shows: 5-15 with 10 students, 15-25 with 20 students. The class midpoints are 10 and 20. Calculate the estimated mean.
[3 marks]6.
Construct a frequency table with three classes, and then calculate the estimated mean using Σfx/Σf.
[4 marks]7.
A survey reports: 18-22 (8 students), 22-26 (12 students), 26-30 (20 students). Calculate the estimated mean score.
[3 marks]8.
Identify and correct the mistake in this calculation: The class intervals are 10-20, 20-30 with frequencies 5 and 10. The student used class midpoints 15 and 25 but calculated Σfx as 600.
[2 marks]9.
Calculate the estimated mean for data: 40-50 (12 students), 50-60 (18 students), 60-70 (20 students).
[3 marks]10.
A company's data shows: 100-200 units sold (30 sales), 200-300 units (50 sales), 300-400 units (20 sales). Find the estimated average units sold.
[4 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet