IGCSE Practice

Edexcel IGCSE·Mathematics 4MA1 Averages Discrete 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).

Averages (discrete data)

30 Edexcel IGCSE 4MA1 past paper questions on averages discrete data — Foundation and Higher, with mark schemes.

Question 1 of 30

June 2023 · Paper 1F · Q12 Foundation
Averages (discrete data) question 1
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Question 2 of 30

November 2023 · Paper 1F · Q10 Foundation
Averages (discrete data) question 2
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Question 3 of 30

June 2024 · Paper 1F · Q12 Foundation
Averages (discrete data) question 3
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Question 4 of 30

January 2023 · Paper 1FR · Q17 Foundation
Averages (discrete data) question 4
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Question 5 of 30

June 2023 · Paper 1FR · Q11 Foundation
Averages (discrete data) question 5
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Question 6 of 30

June 2024 · Paper 1FR · Q16 Foundation
Averages (discrete data) question 6
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Question 7 of 30

January 2023 · Paper 2F · Q10 Foundation
Averages (discrete data) question 7
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Question 8 of 30

June 2023 · Paper 2F · Q26 Foundation
Averages (discrete data) question 8
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Question 9 of 30

November 2023 · Paper 2F · Q24 Foundation
Averages (discrete data) question 9
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Question 10 of 30

June 2024 · Paper 2F · Q28 Foundation
Averages (discrete data) question 10
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Question 11 of 30

November 2024 · Paper 2F · Q24 Foundation
Averages (discrete data) question 11
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Question 12 of 30

January 2023 · Paper 2FR · Q22 Foundation
Averages (discrete data) question 12
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Question 13 of 30

June 2023 · Paper 2FR · Q25 Foundation
Averages (discrete data) question 13
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Question 14 of 30

June 2024 · Paper 2FR · Q11 Foundation
Averages (discrete data) question 14
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Question 15 of 30

June 2024 · Paper 2FR · Q15 Foundation
Averages (discrete data) question 15
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Question 16 of 30

June 2024 · Paper 2FR · Q19 Foundation
Averages (discrete data) question 16
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Question 17 of 30

June 2023 · Paper 1H · Q10 Higher
Averages (discrete data) question 1
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Question 18 of 30

January 2023 · Paper 1HR · Q3 Higher
Averages (discrete data) question 2
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Question 19 of 30

June 2024 · Paper 1HR · Q1 Higher
Averages (discrete data) question 3
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Question 20 of 30

January 2023 · Paper 2H · Q15 Higher
Averages (discrete data) question 4
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Question 21 of 30

June 2023 · Paper 2H · Q10 Higher
Averages (discrete data) question 5
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Question 22 of 30

November 2023 · Paper 2H · Q8 Higher
Averages (discrete data) question 6
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Question 23 of 30

November 2023 · Paper 2H · Q13 Higher
Averages (discrete data) question 7
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Question 24 of 30

June 2024 · Paper 2H · Q12 Higher
Averages (discrete data) question 8
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Question 25 of 30

November 2024 · Paper 2H · Q8 Higher
Averages (discrete data) question 9
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Question 26 of 30

January 2023 · Paper 2HR · Q8 Higher
Averages (discrete data) question 10
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Question 27 of 30

January 2023 · Paper 2HR · Q15 Higher
Averages (discrete data) question 11
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Question 28 of 30

June 2023 · Paper 2HR · Q10 Higher
Averages (discrete data) question 12
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Question 29 of 30

June 2023 · Paper 2HR · Q14 Higher
Averages (discrete data) question 13
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Question 30 of 30

June 2024 · Paper 2HR · Q3 Higher
Averages (discrete data) question 14
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All questions in this set

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