Finding Middle Position: Real-world Applications
Mathematics
Year 9
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on calculating and interpreting the median (middle position) from frequency tables within real-world contexts, designed for Year 9 students.
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Finding Middle Position: Real-world Applications
Subject: MathematicsGrade: Year 9
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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 number of hours students spend on homework:
| Hours | Frequency |
|--------|------------|
| 0-2 | 5 |
| 3-5 | 12 |
| 6-8 | 8 |
| 9-11 | 4 |
[3 marks]2.
Calculate the median position for the following data set of test scores:
Scores (sorted): 55, 60, 65, 70, 75, 80, 85, 90, 95.
[3 marks]3.
A survey recorded the number of books read by students in a month:
| Number of Books | Number of Students |
|------------------|---------------------|
| 0-2 | 4 |
| 3-5 | 10 |
| 6-8 | 6 |
| 9-11 | 2 |
Find the median number of books read.
[3 marks]4.
Using the frequency table below, determine the median age of the group:
| Age Range | Number of People |
|------------|-------------------|
| 10-14 | 7 |
| 15-19 | 10 |
| 20-24 | 8 |
| 25-29 | 5 |
[3 marks]5.
A class's test scores are recorded in the following frequency table:
| Score Range | Frequency |
|--------------|------------|
| 50-59 | 3 |
| 60-69 | 8 |
| 70-79 | 10 |
| 80-89 | 5 |
What is the median score?
[3 marks]6.
In a survey, the number of hours students sleep is categorized as follows:
| Hours | Number of Students |
|--------|---------------------|
| 5-6 | 6 |
| 7-8 | 14 |
| 9-10 | 8 |
| 11-12 | 2 |
Find the median hours of sleep.
[3 marks]7.
A data set of exam scores:
55, 60, 65, 70, 75, 80, 85, 90, 95.
Calculate the median score and explain why it is the middle value.
[4 marks]8.
A school recorded the number of books checked out per student in a week. The data grouped in a frequency table:
| Books | Frequency |
|--------|------------|
| 0-2 | 4 |
| 3-5 | 10 |
| 6-8 | 6 |
| 9-11 | 2 |
Determine the median number of books checked out.
[3 marks]9.
A histogram shows the age distribution of participants. The frequencies are:
10-14: 7, 15-19: 10, 20-24: 8, 25-29: 5.
Identify the median age group.
[4 marks]10.
A class's scores:
50, 55, 60, 65, 70, 75, 80, 85, 90, 95.
Find the median score and describe its significance in the data set.
[4 marks]11.
A student lists the following mistakes in their median calculation: They picked the 6th value in an ordered data set of 11 numbers. Is this correct? If not, explain why and correct it.
[4 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet