Range: Error Analysis & Misconceptions

Mathematics
GCSE Foundation
11 questions
~22 mins
1 views0 downloads

About This Worksheet

A worksheet focusing on understanding and calculating the Range, identifying common errors, and applying this concept to real-world scenarios and problem solving.

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Full preview • 11 questions

Range: Error Analysis & Misconceptions

Subject: MathematicsGrade: GCSE Foundation
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Untitled Worksheet

Grade GCSE Foundation
A

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the Range of the following data set: 12, 15, 9, 20, 17.
[2 marks]
2.
A stem and leaf diagram shows the data: 3|2, 3|5, 4|0, 4|7, 5|1. What is the Range of the data?
[2 marks]
3.
Explain why calculating the Range by subtracting the smallest value from the largest value might be misleading if data contains outliers.
[3 marks]
4.
Construct a data set with five numbers where the Range is exactly 10.
[2 marks]
5.
A student calculates the Range of a data set as 15. The data set is: 7, 12, 16, 20, 22. Is this correct? If not, find the correct Range and explain the mistake.
[3 marks]
6.
Given a stem and leaf diagram with data: 2|1, 2|4, 3|0, 3|8, 4|2. What is the Range?
[2 marks]
7.
Identify a common mistake students make when calculating Range from a stem and leaf diagram and suggest a way to avoid it.
[3 marks]
8.
Calculate the Range of the data set: 5, 8, 12, 15, 20, 22.
[2 marks]
9.
A data set has a Range of 25. The smallest value is 10. What is the largest value?
[2 marks]
10.
Describe a real-world situation where knowing the Range of data is important.
[3 marks]
11.
The data set is: 10, 20, 30, 40, 50. A mistake is made where the Range is calculated as 40. Identify the error and provide the correct Range.
[3 marks]

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Details

Created
1/1/2026
Updated
1/1/2026
Type
worksheet