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Learning objective

Create and analyze cumulative frequency tables and diagrams. Ensure that plotted points on the cumulative frequency diagram are clearly indicated, such as with small crosses (×), and connect these points with a smooth curve. Use the cumulative frequency diagrams to estimate and interpret the median, percentiles, quartiles, and interquartile range.

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Cambridge IGCSE MathematicsExtended StatisticsSupplement content

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Create and analyze cumulative frequency tables and diagrams. Ensure that plotted points on the cumulative frequency diagram are clearly indicated, such as with small crosses (×), and connect these points with a smooth curve. Use the cumulative frequency diagrams to estimate and interpret the median, percentiles, quartiles, and interquartile range

  • This point belongs to Cumulative frequency diagrams, especially Cumulative frequency diagrams outcomes.
  • You need to be able to create and analyze cumulative frequency tables and diagrams. Ensure that plotted points on the cumulative frequency diagram are clearly indicated, such as with small crosses (×), and connect these points with a smooth curve. Use the cumulative frequency diagrams to estimate and interpret the median, percentiles, quartiles, and interquartile range.
  • The key ideas to know are Construct, Plot, and Show.
  • Use the linked flashcards and practice questions to check recall, then practise applying the idea in an exam-style answer.

Key concepts

ConstructPlotShowDetermine

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Paper 2 structured question: Cumulative frequency diagrams

Paper 2Core or Extended Mathematics6 marks

Data Table

Time Spent on Homework

The table shows the time intervals and the number of students in each interval.

Time (hours)Number of Students
0-54
5-108
10-1512
15-2010
20-256
  1. a

    Construct a cumulative frequency table for the data.

    Aim for approximately 2 distinct marking points.

    [2]
  2. b

    Plot the cumulative frequency diagram using the table from part (a).

    Aim for approximately 3 distinct marking points.

    [3]
  3. c

    Determine the median time spent on homework from the cumulative frequency diagram.

    Aim for approximately 1 distinct marking point.

    [1]
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