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0580/11 Oct/Nov 2023, Question 6: Mean, Median, Mode and Range

Cambridge IGCSE Mathematics 0580 · Paper 11 (Core) · Calculator · 6 marks

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The question, in short

Find five integers from given lowest, range, median, total and no mode; then find a fifth number given means of four and five numbers.

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

Part (a) · 3 marks

Write down five integers meeting the stated lowest value, range, median, total and no mode conditions.

  1. 1Lowest 8, range 9, so highest = 8 + 9 = 17; median 15
  2. 28 + 15 + 17 = 40, so the other two add to 66 − 40 = 26
  3. 3No mode: fourth number between 15 and 17 is 16, second is 26 − 16 = 10
  4. 48, 10, 15, 16, 17

Answer8, 10, 15, 16, 17

Part (b) · 3 marks

Find the fifth number added to four numbers with mean 17 to make the new mean 20.

  1. 1Total of four = 4 × 17 = 68
  2. 2Total of five = 5 × 20 = 100
  3. 3Fifth number = 100 − 68 = 32

Answer32

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Also searched as: 0580/11/O/N/23 · 0580_w23_qp_11 · 0580 w23 11 · question 6.
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