Mathematics 0580 · IGCSE · Scatter diagrams

Scatter diagrams — practice question

Bataar is working out how a car’s engine size relates to the distance it can travel on one gallon of fuel. The measurements for 12 cars are shown in the table. Engine size (cm$^3$): 1750, 2160, 1840, 2390, 1650, 2300, 1930, 2050, 1700, 2000, 2200, 1900 Distance (km): 80, 54, 78, 42, 90, 46, 66, 60, 84, 58, 73, 75
(a(i))[2]

Complete the scatter diagram. The first 8 points have already been plotted for you.

(a(ii))[1]

On the scatter diagram, draw your line of best fit.

(a(iii))[1]

What type of correlation is represented by the scatter diagram?

(b(i))[1]

Write down which distance is most likely to be incorrect.

(b(ii))[1]

Use your scatter diagram to estimate the car’s correct distance.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: All four points plotted correctly

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