Edexcel IGCSE·Mathematics 4MA1
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).
Cumulative frequency
7 Edexcel IGCSE past paper questions on cumulative frequency. All from official 4MA1 papers.
Question 1 of 7
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