Exercise 1 — Cambridge IGCSE 0580 Jun 2023 Paper 41 Q5
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Cambridge IGCSE·Mathematics 0580·Extended
Cumulative Frequency
Key knowledge — Statistics
Formulas & equations
Mean = Σfx ÷ Σf (for frequency tables)Range = maximum − minimumInterquartile range (IQR) = Q3 − Q1Median from cumulative frequency: read off at n/2Q1 at n/4; Q3 at 3n/4Frequency density = frequency ÷ class width (for histograms)
Key facts & rules
- Mean uses all values — affected by outliers.
- Median is the middle value when ordered — not affected by outliers.
- Mode is the most frequent value.
- For grouped data: use midpoints to estimate the mean.
- Cumulative frequency graph: S-shaped curve; read median and quartiles from it.
- Box-and-whisker plots: show median, Q1, Q3, min and max.
- Positive correlation: both variables increase together. Negative: one increases as other decreases.
- The line of best fit passes through the mean point (x̄, ȳ).
IGCSE Statistics — Cumulative frequency Practice Extended
6 Cambridge IGCSE 0580 questions on cumulative frequency at the Extended tier — each with its full mark scheme. For the Core tier on the same skill, click here.
How to approach cumulative frequency — open the study guide
Cumulative frequency on IGCSE 0580
Practice with past paper questions on cumulative frequency at the Extended tier.
Practice exercises
Exercise 2 — Cambridge IGCSE 0580 Jun 2023 Paper 42 Q4
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Exercise 3 — Cambridge IGCSE 0580 Jun 2024 Paper 23 Q15
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Exercise 4 — Cambridge IGCSE 0580 Jun 2025 Paper 21 Q12
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Exercise 5 — Cambridge IGCSE 0580 Jun 2025 Paper 43 Q19
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Exercise 6 — Cambridge IGCSE 0580 Nov 2023 Paper 23 Q14
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