Finding Middle Position: Mixed Review
Mathematics
Grade 7
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet covering finding the median from frequency tables, including procedural questions, real-world scenarios, and extension challenges to enhance understanding of middle position concepts.
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Full preview • 11 questions
Finding Middle Position: Mixed Review
Subject: MathematicsGrade: Grade 7
Name:
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.
A class recorded the number of books read by each student. The data is summarized in the table:
| Number of Books | Frequency |
|------------------|------------|
| 0-2 | 5 |
| 3-5 | 8 |
| 6-8 | 12 |
| 9-11 | 4 |
Calculate the median number of books read by students.
[3 marks]2.
Using the same data table as above, identify the class interval that contains the median.
[2 marks]3.
A survey recorded the ages of 30 participants. The frequency distribution is:
| Age Group | Frequency |
|------------|------------|
| 10-14 | 6 |
| 15-19 | 10 |
| 20-24 | 8 |
| 25-29 | 6 |
Calculate the median age group.
[3 marks]4.
A set of data has the following frequency distribution:
| Data Range | Frequency |
|--------------|------------|
| 0-10 | 4 |
| 11-20 | 9 |
| 21-30 | 13 |
| 31-40 | 4 |
Determine the median data range.
[2 marks]5.
In a dataset, the total number of entries is 50. The cumulative frequency up to the class 10-14 is 12, and the cumulative frequency up to 15-19 is 25. Find the median class.
[3 marks]6.
Calculate the median position (middle position) in a data set of 75 items.
[2 marks]7.
A class recorded the number of hours students spend on homework. The frequency table is:
| Hours | Frequency |
|--------|------------|
| 1-2 | 7 |
| 3-4 | 10 |
| 5-6 | 13 |
| 7-8 | 5 |
Find the median number of hours spent on homework.
[3 marks]8.
A data set's median is the 20th item. If the cumulative frequency up to a certain class is 15 and the next class's cumulative frequency is 25, what is the median class?
[2 marks]9.
A survey of 60 people shows the following frequency distribution:
| Satisfaction Level | Frequency |
|----------------------|------------|
| Satisfied | 25 |
| Neutral | 20 |
| Dissatisfied | 15 |
Determine the median satisfaction level.
[4 marks]10.
A teacher recorded the scores of students on a test. The frequencies are:
| Score Range | Frequency |
|--------------|------------|
| 0-10 | 3 |
| 11-20 | 7 |
| 21-30 | 10 |
| 31-40 | 12 |
| 41-50 | 8 |
Find the median score range.
[3 marks]11.
Identify a common mistake students make when calculating the median from a grouped frequency table, and explain how to avoid it.
[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