Lemmara logoLemmaraWorked solution

0580/42 Feb/Mar 2025, Question 7: Scatter Diagrams and Correlation

Cambridge IGCSE Mathematics 0580 · Paper 42 (Extended) · Calculator · 5 marks

اقرأ هذا الحل مشروحاً بالعربي ←

The question, in short

Using a table of ages and masses for 10 babies, complete a scatter diagram, describe its correlation, add a line of best fit, and estimate the mass at 14 weeks.

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

Part (a) · 2 marks

Plot the remaining four points from the table on the scatter diagram, where the first six are already shown.

  1. 1Use the last four columns of the table.
  2. 2Age goes across, mass goes up.
  3. 3Plot (9, 4.6), (7, 4.5), (1, 2.5) and (11, 5.3)

Answer4 points correctly plotted: (9, 4.6), (7, 4.5), (1, 2.5), (11, 5.3)

Part (b) · 1 mark

State the type of correlation displayed by the scatter diagram.

  1. 1Mass increases as age increases: positive correlation

AnswerPositive

Part (c) · 1 mark

Draw a line of best fit on the scatter diagram.

  1. 1Rule a straight line through the middle of the points, following the upward trend, e.g. from about (1, 2.8) to (15, 6.3)

AnswerRuled line of best fit

Part (d) · 1 mark

Use your line of best fit to estimate the mass of a baby aged 14 weeks.

  1. 1Go up from 14 weeks to your line and across to the mass axis
  2. 2e.g. about 6 kg

AnswerReading at 14 weeks from their ruled line of best fit with positive gradient

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

Practise more scatter diagrams and correlation questions

Real 0580 past-paper questions, marked on your working like the exam, with a worked solution for every part.

Practise free on Lemmara

More past-paper questions on scatter diagrams and correlation

Also searched as: 0580/42/F/M/25 · 0580_m25_qp_42 · 0580 m25 42 · question 7.
Lemmara is an independent study tool, not affiliated with or endorsed by Cambridge International Education. The worked solutions are Lemmara’s own.