Finding Middle Position: Problem Solving & Reasoning
Mathematics
Year 9
10 questions
~20 mins
1 views0 downloads
About This Worksheet
A worksheet focused on finding the median (middle position) from frequency tables, designed to develop problem-solving and reasoning skills for Year 9 students.
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Finding Middle Position: Problem Solving & Reasoning
Subject: MathematicsGrade: Year 9
Name:
Date:
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Untitled Worksheet
Grade Year 9
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Given the frequency table below, find the median position:
| Value | Frequency |
|---------|------------|
| 5 | 3 |
| 7 | 5 |
| 9 | 2 |
| 11 | 4 |
[3 marks]2.
Calculate the total number of data points in this frequency table:
| Category | Frequency |
|------------|------------|
| A | 8 |
| B | 12 |
| C | 10 |
[2 marks]3.
Determine the position of the median in this dataset with total 45 data points.
What is the middle position?
[2 marks]4.
A frequency table shows the ages of students:
| Age | Frequency |
|--------|------------|
| 12 | 4 |
| 13 | 9 |
| 14 | 6 |
| 15 | 3 |
| 16 | 8 |
Find the median age.
[3 marks]5.
Construct a frequency table with the following data points: 4, 7, 7, 9, 10, 10, 10, 12. Then, determine the median position.
[4 marks]6.
A class survey recorded the number of books read by students:
| Number of books | Frequency |
|-------------------|------------|
| 0-2 | 5 |
| 3-5 | 8 |
| 6-8 | 7 |
| 9-11 | 4 |
Estimate the median number of books read.
[4 marks]7.
Given the dataset: 3, 7, 8, 5, 6, 9, 2, 4, find the median value.
[2 marks]8.
In a dataset with 21 data points, which position corresponds to the median?
[1 mark]9.
A teacher recorded test scores (out of 100): 55, 60, 65, 70, 75, 80, 85, 90, 95. Find the median score.
[3 marks]10.
Identify and correct the mistake in this median calculation:
Total data points = 20. Median position = 10. Median is at value 8.
[3 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet