Exercise 1 — Cambridge IGCSE 0580 Mar 2023 Paper 42 Q2
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Cambridge IGCSE·Mathematics 0580·Extended
Averages Discrete Data
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 — Averages (discrete data) Practice Extended
7 Cambridge IGCSE 0580 questions on averages (discrete data) at the Extended tier — each with its full mark scheme. For the Core tier on the same skill, click here.
How to approach averages (discrete data) — open the study guide
Averages (discrete data) on IGCSE 0580
Practice with past paper questions on averages (discrete data) at the Extended tier.
Practice exercises
Exercise 2 — Cambridge IGCSE 0580 Mar 2024 Paper 42 Q3
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Exercise 3 — Cambridge IGCSE 0580 Mar 2025 Paper 22 Q16
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Exercise 4 — Cambridge IGCSE 0580 Jun 2023 Paper 23 Q7
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Exercise 5 — Cambridge IGCSE 0580 Jun 2023 Paper 41 Q0
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Exercise 6 — Cambridge IGCSE 0580 Jun 2023 Paper 43 Q2
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Exercise 7 — Cambridge IGCSE 0580 Jun 2023 Paper 43 Q6
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