IGCSE Practice

Edexcel IGCSE·Mathematics 4MA1 Frequency Density
📋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).

Frequency density

6 Edexcel IGCSE past paper questions on frequency density. All from official 4MA1 papers.

Question 1 of 6

June 2023 · Paper 1H · Q18 Higher
Frequency density question 1
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Question 2 of 6

November 2023 · Paper 1H · Q17 Higher
Frequency density question 2
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Question 3 of 6

June 2024 · Paper 1H · Q22 Higher
Frequency density question 3
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Question 4 of 6

November 2024 · Paper 1H · Q18 Higher
Frequency density question 4
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Question 5 of 6

June 2023 · Paper 1HR · Q22 Higher
Frequency density question 5
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Question 6 of 6

June 2024 · Paper 1HR · Q16 Higher
Frequency density question 6
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All questions in this set

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