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0580/32 Oct/Nov 2022, Question 3: Averages from Frequency Tables

Cambridge IGCSE Mathematics 0580 · Paper 32 (Core) · Calculator · 11 marks

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The question, in short

Use a bar chart and frequency table for 24 car owners to complete a missing bar, find the mode, compare green and blue counts, calculate a mean engine size, and use a pie chart for car types.

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

Part (ai) · 2 marks

Draw the missing red bar on the bar chart so all 24 people are represented.

  1. 1Red = 24 − 6 − 2 − 7 − 3 = 6
  2. 2Draw the red bar up to 6, the same width as the other bars

AnswerBar at 6 with correct width

Part (aii) · 1 mark

State the mode of the car colours from the completed bar chart.

  1. 1Tallest bar is Green (7): mode = Green

AnswerGreen

Part (aiii) · 1 mark

Find how many more green cars than blue cars there are.

  1. 17 − 2 = 5

Answer5

Part (b) · 3 marks

Calculate the mean engine size in litres from the given frequency table.

  1. 1Σfx = 0.8×7 + 1.2×4 + 1.5×5 + 1.8×6 + 2.4×2 = 33.5
  2. 2Mean = 33.5 ÷ 24 = 1.395… ≈ 1.40 litres

Answer1.40 or 1.395 to 1.396

Part (ci) · 2 marks

Use the pie chart angle for hybrid cars to work out how many hybrid cars there are.

  1. 1105/360 × 24 = 7

Answer7

Part (cii) · 2 marks

With 8 petrol cars, complete the pie chart showing petrol and diesel sectors.

  1. 1Petrol angle = 8/24 × 360 = 120°
  2. 2Draw a line from the centre making a 120° sector for petrol; the rest is diesel

AnswerCorrect sector with line at 120°

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Also searched as: 0580/32/O/N/22 · 0580_w22_qp_32 · 0580 w22 32 · question 3.
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