IGCSE Practice

Edexcel IGCSE·Mathematics 4MA1 Cumulative Frequency
📋Key knowledge — Statistics

Formulas & equations

  • Mean = Σfx ÷ Σf (for frequency tables)
  • Range = maximum − minimum
  • Interquartile range (IQR) = Q3 − Q1
  • Median from cumulative frequency: read off at n/2
  • Q1 at n/4; Q3 at 3n/4
  • Frequency 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

June 2023 · Paper 1H · Q12 Higher
Cumulative frequency question 1
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Question 2 of 7

November 2023 · Paper 1H · Q13 Higher
Cumulative frequency question 2
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Question 3 of 7

June 2023 · Paper 1HR · Q14 Higher
Cumulative frequency question 3
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Question 4 of 7

January 2023 · Paper 2H · Q12 Higher
Cumulative frequency question 4
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Question 5 of 7

June 2024 · Paper 2H · Q13 Higher
Cumulative frequency question 5
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Question 6 of 7

November 2024 · Paper 2H · Q13 Higher
Cumulative frequency question 6
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Question 7 of 7

June 2024 · Paper 2HR · Q11 Higher
Cumulative frequency question 7
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All questions in this set

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