Lemmara logoLemmaraWorked solution

4024/23 May/Jun 2026, Question 13: Finding the Median and Quartiles

Cambridge O Level Mathematics 4024 · Paper 23 (Calculator) · Calculator · 5 marks

اقرأ هذا الحل مشروحاً بالعربي ←

The question, in short

From a cumulative frequency graph of 100 students' solving times, estimate the median and interquartile range, then complete the grouped frequency table.

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

Part (ai) · 1 mark

Use the cumulative frequency curve to estimate the median time in minutes.

  1. 1Median at cumulative frequency 50
  2. 2Read across to the curve and down: 45 minutes

Answer45

Part (aii) · 2 marks

Use the cumulative frequency curve to estimate the interquartile range of the times.

  1. 1Lower quartile at 25: 36 minutes
  2. 2Upper quartile at 75: 50 minutes
  3. 3IQR = 50 − 36 = 14 minutes

Answer14

Part (b) · 2 marks

Complete the frequency table for the four time intervals, given the first frequency is 15.

  1. 1Cumulative frequencies at 30, 40, 50, 60: 15, 36, 75, 100
  2. 230 < t ≤ 40: 36 − 15 = 21
  3. 340 < t ≤ 50: 75 − 36 = 39
  4. 450 < t ≤ 60: 100 − 75 = 25

Answer21, 39, 25

Stuck on a step? Read the free lesson: Finding the Median and Quartiles

Practise more finding the median and quartiles questions

Real 4024 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 finding the median and quartiles

Also searched as: 4024/23/M/J/26 · 4024_s26_qp_23 · 4024 s26 23 · question 13.
Lemmara is an independent study tool, not affiliated with or endorsed by Cambridge International Education. The worked solutions are Lemmara’s own.