Median: Error Analysis & Misconceptions
Mathematics
GCSE Foundation
10 questions
~20 mins
1 views0 downloads
About This Worksheet
A worksheet exploring common misconceptions and error analysis related to calculating and interpreting the median, with practice on stem and leaf diagrams.
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Median: Error Analysis & Misconceptions
Subject: MathematicsGrade: GCSE Foundation
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Untitled Worksheet
Grade GCSE Foundation
A
Fluency & Practice
Answer all questions. Show your working in the grid spaces provided.
1.
Find the median of the data set: 12, 15, 11, 14, 13.
[2 marks]2.
Construct a stem and leaf diagram for the data: 22, 24, 21, 23, 25, 22.
[3 marks]3.
Calculate the median of the following stem and leaf diagram:
Stem | Leaves
2 | 1, 2, 2
3 | 4, 5
4 | 3, 7
[3 marks]B
Problem Solving & Reasoning
Answer all questions with detailed explanations.
1.
A set of test scores has a median of 78. The scores are listed in order. If a new score of 85 is added, explain whether the median will change and justify your reasoning.
[4 marks]2.
Given the stem and leaf diagram below, find the median and explain any common misconceptions students might have when locating it.
[4 marks]C
Real-world Applications
Solve these contextual problems.
1.
A survey of 15 students' heights is recorded. The median height is 165 cm. If the shortest student's height was misrecorded as 150 cm instead of 155 cm, how would this error affect the median?
[4 marks]D
Challenge & Extension
Tackle these more difficult problems, showing detailed working.
1.
A stem and leaf diagram shows data with a median of 27. If the data is modified so that the median shifts to 29, explain what changes might have occurred to the data set.
[4 marks]2.
Construct a data set with 11 numbers where the median is 50, and explain your construction process.
[4 marks]E
Mixed Review & Error Analysis
Answer the following questions to test your understanding and identify common errors.
1.
A student calculates the median by averaging the two middle values in an even set of data. Is this correct? Explain any misconceptions.
[4 marks]2.
The stem and leaf diagram below shows data with the median indicated as 35. A student claims the median is 34. Identify and correct this mistake.
[3 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