Drawing: Error Analysis & Misconceptions
Mathematics
GCSE Foundation
14 questions
~28 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on drawing lines of best fit, common errors, and misconceptions to enhance understanding and accuracy in GCSE Foundation students.
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Drawing: Error Analysis & Misconceptions
Subject: MathematicsGrade: GCSE Foundation
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Untitled Worksheet
Grade GCSE Foundation
A
Introduction
Read the key concept carefully.
1.
A line of best fit is a straight line that best represents the trend of a set of data points on a scatter diagram. It should roughly pass through the middle of the data points, minimizing the overall distance of points above and below the line.
[2 marks]B
Fluency & Practice
Answer all questions. Show your working in the grid spaces provided.
1.
Plot the points (1, 2), (2, 4), (3, 5), (4, 4), and (5, 3) on the grid. Draw a line of best fit through the data points.
[3 marks]2.
Using the plotted points, estimate the line of best fit and write its equation in the form y = mx + c.
[3 marks]3.
Describe two common mistakes students might make when drawing a line of best fit.
[2 marks]4.
If a student draws a line that passes through only the highest two data points, are they correctly drawing a line of best fit? Explain why or why not.
[3 marks]C
Problem Solving & Reasoning
Answer all questions clearly, showing your working.
1.
Given the data points (2, 3), (4, 5), (6, 7), and (8, 9), draw a line of best fit. Calculate the slope and intercept of your line. How well does this line represent the data?
[4 marks]2.
Explain why a line of best fit might not pass exactly through all data points and why this is acceptable.
[3 marks]D
Real-world Applications
Use the grid to illustrate your answer where needed.
1.
A researcher records the heights and shoe sizes of 10 students. They plot the data on a scatter diagram and draw a line of best fit. What insights might they gain from this line? How could inaccuracies in drawing affect their conclusions?
[4 marks]E
Challenge & Extension
Attempt these advanced questions.
1.
Given a set of data with a clear nonlinear trend, why might drawing a straight line of best fit be misleading? Suggest alternative methods for representing the data.
[4 marks]2.
Suppose a student draws a line that appears too steep. How can they check and correct this mistake?
[2 marks]F
Mixed Review
Answer the following questions to test your understanding of drawing lines of best fit.
1.
Draw a line of best fit for the points (1, 5), (2, 6), (3, 7), (4, 8), and (5, 9). Write down the approximate equation of the line.
[3 marks]2.
Identify a common misconception when drawing a line of best fit from a small data set.
[2 marks]G
Error Analysis & Misconceptions
Examine each scenario below and identify or correct the mistake.
1.
A student draws a line that passes through only the lowest and highest data points, ignoring the rest. Is this correct? Explain why or why not and suggest a better approach.
[3 marks]2.
A student draws a line that appears to pass above most data points. What is the common mistake here, and how can they improve their drawing?
[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)
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet