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HomeCIE IGCSE MathematicsStatistics: Histograms with frequency density and frequency polygons
CIE · IGCSE · Mathematics

Statistics: Histograms with frequency density and frequency polygons
Practice Questions

20 CIE IGCSE Mathematics questions on Statistics: Histograms with frequency density and frequency polygons, each with instant feedback and a full examiner-style mark scheme.

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Try 2 sample questions on Statistics: Histograms with frequency density and frequency polygons

Question 1 · 1 mark · Difficulty 1/3

A researcher in Singapore collected data on the daily rainfall amounts over a year. The data is grouped into unequal class intervals. Which quantity should be plotted on the vertical axis of a histogram?

  1. Frequency
  2. Cumulative frequency
  3. Frequency density
  4. Class width
Show answer & explanation
✓ Answer: CFrequency density
Award 1 mark for identifying that histograms with unequal class intervals must use frequency density on the y-axis. A is incorrect — frequency is only used when class intervals are equal. B is incorrect — cumulative frequency is used for cumulative frequency diagrams. D is incorrect — class width is not plotted on any axis.
Question 2 · 1 mark · Difficulty 1/3

A histogram shows the heights of 200 students. One bar represents the class interval 150 ≤ h < 160 cm and has a frequency density of 2.5. What is the frequency for this class interval?

  1. 2.5
  2. 25
  3. 20
  4. 250
Show answer & explanation
✓ Answer: B25
Award 1 mark for correct calculation using frequency = frequency density × class width = 2.5 × 10 = 25. A is incorrect — this is the frequency density, not the frequency. C is incorrect — this would result from using class width of 8. D is incorrect — this results from multiplying by 100 instead of the class width.
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CIE IGCSE Mathematics: Statistics: Histograms with frequency density and frequency polygons FAQ

How many CIE IGCSE Mathematics questions on Statistics: Histograms with frequency density and frequency polygons are there on Kramizo?
Kramizo currently has 20 exam-board-aligned practice questions on Statistics: Histograms with frequency density and frequency polygons 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 Statistics: Histograms with frequency density and frequency polygons 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 Statistics: Histograms with frequency density and frequency polygons 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 Statistics: Histograms with frequency density and frequency polygons typically tested on CIE IGCSE Mathematics papers?
Statistics: Histograms with frequency density and frequency polygons 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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