IGCSE Practice

Edexcel IGCSE·Mathematics 4MA1 Statistical Graphs
📋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).

Statistical graphs

19 Edexcel IGCSE 4MA1 past paper questions on statistical graphs — Foundation and Higher, with mark schemes.

Question 1 of 19

June 2023 · Paper 1F · Q2 Foundation
Statistical graphs question 1
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Question 2 of 19

June 2023 · Paper 1F · Q3 Foundation
Statistical graphs question 2
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Question 3 of 19

November 2023 · Paper 1F · Q2 Foundation
Statistical graphs question 3
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Question 4 of 19

November 2024 · Paper 1F · Q3 Foundation
Statistical graphs question 4
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Question 5 of 19

June 2023 · Paper 1FR · Q9 Foundation
Statistical graphs question 5
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Question 6 of 19

June 2024 · Paper 1FR · Q4 Foundation
Statistical graphs question 6
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Question 7 of 19

June 2024 · Paper 1FR · Q7 Foundation
Statistical graphs question 7
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Question 8 of 19

January 2023 · Paper 2F · Q2 Foundation
Statistical graphs question 8
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Question 9 of 19

June 2023 · Paper 2F · Q3 Foundation
Statistical graphs question 9
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Question 10 of 19

June 2023 · Paper 2F · Q11 Foundation
Statistical graphs question 10
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Question 11 of 19

November 2023 · Paper 2F · Q2 Foundation
Statistical graphs question 11
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Question 12 of 19

June 2024 · Paper 2F · Q1 Foundation
Statistical graphs question 12
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Question 13 of 19

November 2024 · Paper 2F · Q3 Foundation
Statistical graphs question 13
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Question 14 of 19

November 2024 · Paper 2F · Q26 Foundation
Statistical graphs question 14
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Question 15 of 19

January 2023 · Paper 2FR · Q2 Foundation
Statistical graphs question 15
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Question 16 of 19

June 2023 · Paper 2FR · Q6 Foundation
Statistical graphs question 16
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Question 17 of 19

June 2023 · Paper 2FR · Q15 Foundation
Statistical graphs question 17
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Question 18 of 19

June 2024 · Paper 2FR · Q2 Foundation
Statistical graphs question 18
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Question 19 of 19

November 2024 · Paper 2H · Q10 Higher
Statistical graphs question 1
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