Finding Mean: Error Analysis & Misconceptions
Mathematics
Year 9
10 questions
~20 mins
1 views0 downloads
About This Worksheet
A worksheet focused on understanding and accurately calculating the mean from stem-and-leaf diagrams, addressing common misconceptions and error analysis.
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Finding Mean: Error Analysis & Misconceptions
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.
Calculate the mean of the data set represented by the stem-and-leaf diagram below:
Stem | Leaves
-----|-------
2 | 3, 5, 7
3 | 1, 3, 6
4 | 0, 2, 4
[3 marks]2.
A student incorrectly added the median instead of the mean in a stem-and-leaf diagram question. Identify this mistake and explain how to correct it.
[4 marks]3.
A data set in a stem-and-leaf diagram is as follows:
Stem | Leaves
-----|-------
1 | 2, 4
2 | 0, 3, 5
3 | 1, 4, 6
Find the mean of all the data points.
[4 marks]4.
If a stem-and-leaf diagram shows data with stems 1, 2, 3 and leaves 0, 2, 4, 1, 3, 5 respectively, what is the correct mean? Show your working.
[4 marks]5.
Construct a stem-and-leaf diagram for the data set: 15, 17, 18, 22, 23, 25, 25, 27. Then, calculate the mean.
[4 marks]6.
A common misconception is to add all data points and then divide by the number of leaves in the stem. Why is this approach incorrect when finding the mean from a stem-and-leaf diagram?
[3 marks]7.
Given the stem-and-leaf diagram:
Stem | Leaves
-----|-------
0 | 2, 4
1 | 1, 3, 5
2 | 0, 2, 4
Identify the mistake if a student claims the mean is 10, and correct it.
[3 marks]8.
A stem-and-leaf diagram shows the data: 5, 7, 7, 8, 10, 12. Calculate the mean.
[3 marks]9.
A teacher suggests averaging only the stem values (e.g., 1, 2, 3) to find the mean of the data. Explain why this is incorrect.
[3 marks]10.
Find the mean of the data set: 12, 15, 15, 18, 20, 22. Show your calculation.
[4 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet