IGCSE Practice

Edexcel IGCSE·Mathematics 4MA1 Grouped Data
📋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).

Grouped data

11 Edexcel IGCSE 4MA1 past paper questions on grouped data — Foundation and Higher, with mark schemes.

Question 1 of 11

January 2023 · Paper 1F · Q16 Foundation
Grouped data question 1
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Question 2 of 11

June 2023 · Paper 1F · Q17 Foundation
Grouped data question 2
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Question 3 of 11

November 2024 · Paper 1F · Q18 Foundation
Grouped data question 3
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Question 4 of 11

January 2023 · Paper 1FR · Q15 Foundation
Grouped data question 4
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Question 5 of 11

January 2023 · Paper 2F · Q5 Foundation
Grouped data question 5
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Question 6 of 11

January 2023 · Paper 1H · Q1 Higher
Grouped data question 1
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Question 7 of 11

November 2024 · Paper 1H · Q1 Higher
Grouped data question 2
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Question 8 of 11

January 2023 · Paper 1HR · Q1 Higher
Grouped data question 3
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Question 9 of 11

January 2023 · Paper 1HR · Q11 Higher
Grouped data question 4
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Question 10 of 11

January 2023 · Paper 2H · Q18 Higher
Grouped data question 5
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Question 11 of 11

January 2023 · Paper 2HR · Q17 Higher
Grouped data question 6
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