Even Number: Error Analysis & Misconceptions
Mathematics
Grade 7
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet focused on understanding even numbers, identifying common misconceptions, and applying correct procedures related to medians involving even datasets.
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Full preview • 11 questions
Even Number: Error Analysis & Misconceptions
Subject: MathematicsGrade: Grade 7
Name:
Date:
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Untitled Worksheet
Grade Grade 7
A
Fluency & Practice
Answer all questions. Show your working in the grid spaces provided.
1.
List all even numbers between 10 and 30.
[2 marks]2.
Calculate the median of the dataset: 3, 8, 12, 14, 17, 20, 23, 26.
[3 marks]3.
Identify the mistake in the following median calculation: Dataset: 4, 6, 8, 10. Student's answer: 8.
[2 marks]B
Problem Solving & Reasoning
Answer all questions. Show your working in the grid spaces provided.
1.
A class has 12 students with ages listed as follows: 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22. Find the median age.
[3 marks]2.
Explain why the median of an even-numbered dataset is calculated as the average of the two middle numbers.
[3 marks]C
Real-world Applications
Answer all questions. Show your working in the grid spaces provided.
1.
A factory produces the following even number of widgets each day for a week: 102, 104, 106, 108, 110, 112, 114. What is the median number of widgets produced?
[2 marks]2.
A survey of 14 students' heights (in cm) gives the dataset: 145, 147, 149, 151, 153, 155, 157, 159, 161, 163, 165, 167, 169, 171. Find the median height.
[3 marks]D
Challenge & Extension
Answer all questions. Show your working in the grid spaces provided.
1.
Create a dataset of 8 even numbers where the median is 20. List the dataset and identify the median.
[4 marks]2.
If a dataset with an even number of values has the two middle numbers as 14 and 20, what is the median? Explain your answer.
[3 marks]E
Mixed Review & Error Analysis
Answer all questions. Show your working in the grid spaces provided.
1.
A dataset contains the even numbers: 2, 4, 6, 8, 10, 12. A student incorrectly calculates the median as 8 by choosing the middle value without averaging. Identify and correct the mistake.
[2 marks]2.
Explain a common misconception students have about median in datasets with an even number of values.
[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.
- • 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