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HomeCIE IGCSE MathematicsCumulative frequency: tables, curves, median, quartiles and interquartile range
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Cumulative frequency: tables, curves, median, quartiles and interquartile range
Practice Questions

20 CIE IGCSE Mathematics questions on Cumulative frequency: tables, curves, median, quartiles and interquartile range, each with instant feedback and a full examiner-style mark scheme.

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Question 1 · 1 mark · Difficulty 1/3

A cumulative frequency curve is drawn for a set of 120 data values. What value on the cumulative frequency axis should be used to estimate the median?

  1. 30
  2. 40
  3. 60
  4. 90
Show answer & explanation
✓ Answer: C60
Award 1 mark for correct answer. The median corresponds to the n/2 position, where n = 120, so n/2 = 60. A is incorrect — this is n/4, used for the lower quartile. B confuses the quartile position. D is incorrect — this is 3n/4, used for the upper quartile.
Question 2 · 1 mark · Difficulty 1/3

A meteorologist records the daily rainfall, in millimetres, over 200 days in a developing country. A cumulative frequency curve is drawn. The lower quartile is 8 mm, the median is 15 mm, and the upper quartile is 26 mm. What is the interquartile range?

  1. 7 mm
  2. 11 mm
  3. 18 mm
  4. 34 mm
Show answer & explanation
✓ Answer: C18 mm
Award 1 mark for correct answer. IQR = Q₃ - Q₁ = 26 - 8 = 18 mm. A is incorrect — this is Q₂ - Q₁. B is incorrect — this is Q₂ - (Q₂ - Q₁)/2. D is incorrect — this adds Q₃ and Q₁ instead of subtracting.
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CIE IGCSE Mathematics: Cumulative frequency: tables, curves, median, quartiles and interquartile range FAQ

How many CIE IGCSE Mathematics questions on Cumulative frequency: tables, curves, median, quartiles and interquartile range are there on Kramizo?
Kramizo currently has 20 exam-board-aligned practice questions on Cumulative frequency: tables, curves, median, quartiles and interquartile range for CIE IGCSE Mathematics, with new questions added every week. Each question gives you instant feedback and a full examiner-style mark scheme that tells you exactly what would earn marks on a real CIE paper. The questions span the full difficulty range — from straightforward recall (level 1) right up to multi-step reasoning and evaluation (level 3) — so the bank works for first-pass revision and final exam-week stress testing alike.
Is Kramizo free for CIE IGCSE students preparing for Mathematics?
Yes — completely free. Every student gets 45 questions a day on the free plan, with no card required and no trial countdown. That free quota works across every subject and every topic in our bank, so you can mix Cumulative frequency: tables, curves, median, quartiles and interquartile range practice with other Mathematics topics or even switch to a totally different CIE subject without paying anything. Kramizo's optional Pro plan removes the daily cap and adds detailed progress analytics, but the free tier is the real product — used by thousands of GCSE, IGCSE and CSEC students.
Are the Cumulative frequency: tables, curves, median, quartiles and interquartile range questions aligned to the official CIE IGCSE Mathematics syllabus?
Every question is written against the published CIE IGCSE Mathematics specification, including the exact command words (state, describe, explain, calculate, evaluate, etc.), mark allocations, and difficulty tier you'd see on a real CIE paper. Explanations are written in the style of official examiner mark schemes — they tell you what is being awarded marks and why distractors are wrong, not just whether you got it right. The bank is continually refined to match the latest syllabus updates from CIE.
How is Cumulative frequency: tables, curves, median, quartiles and interquartile range typically tested on CIE IGCSE Mathematics papers?
Cumulative frequency: tables, curves, median, quartiles and interquartile range appears across multiple question types on real CIE IGCSE Mathematics papers — most commonly as multiple-choice questions in the objective section, structured short-answer questions in the main paper, and occasionally as part of an extended response. Kramizo's practice bank reflects that mix: 4-option MCQs, true/false statements, fill-in-the-blank key terms, multi-select questions, and ordering questions. Working through the bank gives you exposure to every question style examiners actually use.

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