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0580/43 May/Jun 2026, Question 6: Scatter Diagrams and Correlation

Cambridge IGCSE Mathematics 0580 · Paper 43 (Extended) · Calculator · 5 marks

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The question, in short

Using a table of study times and test errors for 9 students, plot remaining points, describe correlation, add a best-fit line, and estimate errors for 13 minutes of study.

Summarised in our own words. Use the official paper for the exact wording and the diagram.

Part (a) · 2 marks

Plot the three missing points from the table on the scatter diagram, using the six points already drawn.

  1. 1Plot (25, 13)
  2. 2Plot (27, 9)
  3. 3Plot (31, 6)

Answer3 points correctly plotted: (25, 13), (27, 9), (31, 6)

Part (b) · 1 mark

State what kind of correlation the plotted points show.

  1. 1As study time increases, the number of errors decreases
  2. 2Negative correlation

AnswerNegative

Part (c) · 1 mark

Add a straight line of best fit to the scatter diagram.

  1. 1Draw a ruled straight line following the trend of the points
  2. 2Pass between (6, 34) and (6, 36)
  3. 3Pass between (30, 6) and (30, 8)

AnswerRuled line of best fit, passing between (6, 34) and (6, 36) and between (30, 6) and (30, 8)

Part (d) · 1 mark

Using your line, estimate how many errors a student studying 13 minutes would make.

  1. 1Go up from 13 on the study time axis to the line
  2. 2Read across: about 28 errors

Answer28 (accept 26 to 30)

Stuck on a step? Read the free lesson: Scatter Diagrams and Correlation

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Also searched as: 0580/43/M/J/26 · 0580_s26_qp_43 · 0580 s26 43 · question 6.
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