Odd Number of Values: Problem Solving & Reasoning
Mathematics
GCSE Foundation
13 questions
~26 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on finding the median when the data set contains an odd number of values, including problem-solving and real-world contexts.
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Odd Number of Values: Problem Solving & Reasoning
Subject: MathematicsGrade: GCSE Foundation
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Untitled Worksheet
Grade GCSE Foundation
A
Introduction
1.
When a dataset has an odd number of values, the median is the middle value when the data is ordered from smallest to largest.
[1 mark]B
Fluency & Practice
Answer all questions. Show your working in the grid spaces provided.
1.
Find the median of the data set: 3, 7, 5, 9, 11.
[2 marks]2.
Arrange these numbers in order and identify the median: 14, 8, 20, 18, 12.
[2 marks]3.
Calculate the median of the following data: 25, 30, 28, 26, 32.
[2 marks]4.
What is the median of the data set: 5, 11, 7, 9, 13?
[2 marks]C
Problem Solving & Reasoning
Tackle these multi-step problems requiring explanation.
1.
A class has 11 students' test scores. The scores are: 56, 73, 89, 65, 78, 71, 84, 69, 77, 82, 90. Find the median score and explain your steps.
[4 marks]2.
A survey of 13 people's favorite fruits recorded: apple, banana, apple, orange, banana, apple, pear, banana, orange, pear, apple, banana, orange. Find the median favorite fruit after ordering the data alphabetically.
[4 marks]D
Real-world Applications
Apply median concepts to real-life scenarios.
1.
A delivery driver records the number of packages delivered each day over 7 days: 15, 20, 22, 18, 25, 19, 21. What is the median number of packages delivered per day?
[2 marks]2.
A gardener records the number of flowers picked each morning for 9 days: 40, 35, 45, 38, 42, 37, 39, 41, 36. Find the median number of flowers picked.
[2 marks]E
Challenge & Extension
Tackle these more advanced problems.
1.
Given the data set: 12, 15, 17, 19, 21, 23, what is the median? Now, if a new score 25 is added, what is the new median? Explain the change.
[4 marks]2.
Construct a set of 7 numbers where the median is 50. Explain your choice of numbers.
[4 marks]F
Mixed Review
Answer these questions to review median concepts.
1.
Identify the mistake in this statement: "The median of the data set 2, 4, 6, 8, 10, 12 is 8, because it is the middle value."
[2 marks]2.
The data set has 9 numbers. If the 5th number is 20, what is the median after the data is ordered?
[2 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet