Lemmara logoLemmaraWorked solution

4MA1/2FR Jun 2020, Question 17: Mean, Median, Mode and Range

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2FR (Foundation) · Calculator · 3 marks

اقرأ هذا الحل مشروحاً بالعربي ←

The question, in short

Using total 45, median 8, mode 5 and range 10, work out the number on each of the five blank cards.

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

Solution · 3 marks

  1. 1The median is 8, so the third number when ordered must be 8.
  2. 2The mode is 5, so 5 must appear more than once; at least two 5s.
  3. 3The range is 10, so the difference between the largest and smallest number is 10.
  4. 4The total sum is 45.
  5. 5Start with two 5s and include 8 as the median: 5, 5, 8, _, _.
  6. 6Smallest number is 5, so largest must be 5 + 10 = 15.
  7. 7Now we have: 5, 5, 8, _, 15.
  8. 8Sum so far: 5 + 5 + 8 + 15 = 33.
  9. 9Missing number: 45 − 33 = 12.
  10. 10Final numbers: 5, 5, 8, 12, 15.

Answer5, 5, 8, 12, 15

Stuck on a step? Read the free lesson: Mean, Median, Mode and Range

Practise more mean, median, mode and range questions

Real 4MA1 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 mean, median, mode and range

Also searched as: 4MA1 2FR June 2020 · 4MA1/2FR · 4ma1 jun20 2fr · question 17.
Lemmara is an independent study tool, not affiliated with or endorsed by Pearson Edexcel. The worked solutions are Lemmara’s own.