Finding Middle Position: Challenge & Extension
Mathematics
Grade 7
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet focused on finding the median (middle position) from frequency tables, designed for challenge and extension for Grade 7 students.
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Finding Middle Position: Challenge & Extension
Subject: MathematicsGrade: Grade 7
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Date:
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Untitled Worksheet
Grade Grade 7
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Given the frequency table below, find the median position:
| Class Interval | Frequency |
|----------------|------------|
| 0 - 4 | 5 |
| 5 - 9 | 8 |
| 10 - 14 | 12 |
| 15 - 19 | 7 |
| 20 - 24 | 3 |
[3 marks]2.
Calculate the total number of data points represented in the following frequency table:
| Category | Frequency |
|----------|------------|
| A | 15 |
| B | 22 |
| C | 18 |
| D | 10 |
[2 marks]3.
Using the following data, find the median class and the median value:
| Class Interval | Frequency |
|----------------|------------|
| 30 - 39 | 6 |
| 40 - 49 | 9 |
| 50 - 59 | 13 |
| 60 - 69 | 8 |
| 70 - 79 | 4 |
[3 marks]4.
Explain why the median is located in the class interval 50-59 in the above table.
[4 marks]5.
In a frequency table, the total number of data points is 84. The median position is at 42. If the cumulative frequency up to a certain class is 25, and after the next class it is 55, in which class interval does the median lie?
[3 marks]6.
Construct a frequency table with at least 4 classes, and find its median position. Explain your steps.
[5 marks]7.
Given a grouped data set, determine the median value when the median class is 70-79 with the cumulative frequency just reaching half of total data points.
[3 marks]8.
A survey shows the following frequency distribution of ages:
| Age Group | Frequency |
|------------|------------|
| 10-19 | 12 |
| 20-29 | 15 |
| 30-39 | 20 |
| 40-49 | 8 |
| 50-59 | 5 |
Calculate the median age.
[4 marks]9.
Identify and correct the mistake in this median calculation:
Total data points = 100. Median position = 50.
Median class interval = 20-29.
Cumulative frequency before = 20, after = 70.
Median value = 20 + (50-20)/ (70-20) * class width = 25?
[3 marks]10.
A data set has a median position at 45. The total number of data points is 90. If the cumulative frequency reaches 40 at the last class before the median class, what is the median class?
[3 marks]11.
Plot the graph of y = 2x for x values from 0 to 10 on the grid provided. (Student draws on grid).
[2 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.
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet