Σfx / Σf: Challenge & Extension
Mathematics
Grade 6
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet designed to challenge students' understanding of calculating the mean from frequency tables using the formula Σfx / Σf, including multiple problem types and extension questions.
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Σfx / Σf: Challenge & Extension
Subject: MathematicsGrade: Grade 6
Name:
Date:
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Untitled Worksheet
Grade Grade 6
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
A class recorded the number of books they read in a month: 2, 4, 2, 5, 4, 3, 2. The frequency of each number is: 3 students read 2 books, 2 students read 4 books, 1 student read 5 books, and 1 student read 3 books. Calculate the mean number of books read.
[3 marks]2.
Given the frequency table: Number of pets (f): 5, 8, 12, 7. Corresponding values for pets (x): 1, 2, 3, 4. Calculate the mean number of pets per person.
[3 marks]3.
A survey recorded the hours spent on homework: 1, 2, 1, 3, 2, 2, 1, 3, 2, 1. The frequency of each time is: 3 students spend 1 hour, 4 students spend 2 hours, 2 students spend 3 hours. Find the average hours spent on homework.
[3 marks]4.
If a table shows: Scores (x): 50, 60, 70, 80, 90 with frequencies: 2, 4, 3, 5, 6, calculate the mean score.
[3 marks]5.
A small shop recorded daily sales (in dollars): 200, 250, 200, 300, 250. The frequencies are: 2 days at $200, 2 days at $250, 1 day at $300. Calculate the average daily sales.
[3 marks]6.
A teacher recorded the number of students who brought their lunch: 10, 15, 12, 20, 15. Frequencies: 4 students brought lunch 10 times, 3 students 15 times, 2 students 12 times, 1 student 20 times. Calculate the mean number of lunches brought.
[4 marks]7.
Problem Solving: The table below shows the number of goals scored by players in a season:
| Goals (x) | Frequency (f) |
|------------|--------------|
| 0 | 3 |
| 1 | 5 |
| 2 | 7 |
| 3 | 4 |
| 4 | 2 |
Calculate the mean goals scored.
[4 marks]8.
In a survey, 30 students reported the number of hours they sleep each night: 6, 7, 6, 8, 7, 7, 6, 8, 7. The frequency of each is: 3 students sleep 6 hours, 4 sleep 7 hours, 2 sleep 8 hours. Find the average hours of sleep.
[4 marks]9.
Real-world Application: A bakery recorded the number of bread loaves sold each day:
| Loaves (x) | Frequency (f) |
|------------|--------------|
| 20 | 2 |
| 25 | 3 |
| 30 | 4 |
| 35 | 1 |
Calculate the average number of loaves sold per day.
[4 marks]10.
Challenge & Extension: A company recorded the number of hours its employees worked in a week:
| Hours (x) | Frequency (f) |
|------------|--------------|
| 30 | 5 |
| 35 | 8 |
| 40 | 10 |
| 45 | 4 |
Calculate the mean hours worked.
[4 marks]11.
Error Analysis: A student calculated the mean from a frequency table but made a mistake in summing the fx values. The table shows:
| x | f |
|---|---|
| 1 | 2 |
| 2 | 3 |
| 3 | 4 |
The student wrote Σfx = 14 instead of the correct value. Identify the mistake and calculate the correct Σfx.
[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.
- • Change grade level (Grade 6 → Grade 7)
- • Swap topics (Harry Potter → Macbeth)
- • Add more questions (10 → 15)
- • Adjust difficulty
Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet