Σfx / Σf: Fluency & Practice
Mathematics
GCSE Foundation
12 questions
~24 mins
1 views0 downloads
About This Worksheet
A worksheet covering calculating the mean from frequency tables using Σfx / Σf, aimed at GCSE Foundation students.
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Σfx / Σf: Fluency & Practice
Subject: MathematicsGrade: GCSE Foundation
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Untitled Worksheet
Grade GCSE Foundation
A
Practice Questions
Answer all questions. Show your working clearly in the grid spaces provided.
1.
A class recorded the number of hours they studied in a week. The frequencies are: 2 hours (5 students), 3 hours (8 students), 4 hours (10 students), and 5 hours (7 students). Calculate the mean number of hours studied per student.
[3 marks]2.
Complete the frequency table below and find the mean:
| Number of apples (x) | Frequency (f) |
|----------------------|--------------|
| 3 | 4 |
| 4 | 6 |
| 5 | 5 |
| 6 | 3 |
[4 marks]3.
A survey recorded the ages of 12 people with the following frequencies: 20-29 (3 people), 30-39 (4 people), 40-49 (3 people), 50-59 (2 people). The ages are evenly distributed within each group. Calculate the approximate mean age.
[4 marks]4.
A table shows the number of cars sold per day:
| Number of cars | Frequency |
|----------------|------------|
| 1 | 2 |
| 2 | 5 |
| 3 | 7 |
| 4 | 3 |
Calculate the mean number of cars sold per day.
[3 marks]5.
In a class, the test scores (out of 100) and their frequencies are: 50 (4 students), 60 (6 students), 70 (8 students), 80 (2 students). Find the mean score.
[4 marks]6.
A factory records the number of defective items per batch. The data: 0 defects (20 batches), 1 defect (15 batches), 2 defects (5 batches). Find the mean number of defects per batch.
[3 marks]7.
Calculate the mean of the following frequency table:
| x | f |
|---|---|
| 10 | 3 |
| 20 | 5 |
| 30 | 2 |
| 40 | 4 |
[3 marks]8.
A school recorded the number of books read by students in a month. The data: 0-2 books (6 students), 3-5 books (10 students), 6-8 books (8 students). The midpoint of each range is used for x. Calculate the approximate mean number of books read.
[4 marks]9.
A survey of gym attendance recorded the number of visits per week: 1-2 (12 students), 3-4 (10 students), 5-6 (8 students). Using midpoints, find the estimated mean number of visits.
[4 marks]10.
A distribution table is given: x values are 5, 10, 15, 20 with frequencies 2, 3, 4, 1 respectively. Calculate the mean.
[3 marks]11.
A factory records the number of defective parts in batches. The data: 0 defects (25 batches), 1 defect (10 batches), 2 defects (5 batches). Find the mean number of defects per batch.
[3 marks]12.
Identify the common mistake: A student calculated Σfx as 150 and Σf as 30, then divided to find the mean. The correct values are Σfx=180 and Σf=30. What is the student's incorrect mean calculation?
[2 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet