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Approximate the mean and median from a cumulative frequency distribution, using methods such as frequency polygons or linear interpolation.

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Cambridge IGCSE StatisticsMeasures of central tendency

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Approximate the mean and median from a cumulative frequency distribution, using methods such as frequency polygons or linear interpolation

  • This point belongs to Measures of central tendency, especially Measures of central tendency outcomes.
  • You need to be able to approximate the mean and median from a cumulative frequency distribution, using methods such as frequency polygons or linear interpolation.
  • The key ideas to know are Calculate, State, and Suggest.
  • Use the linked flashcards and practice questions to check recall, then practise applying the idea in an exam-style answer.

Key concepts

CalculateStateSuggest

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Paper 1 structured question: Measures of central tendency

Paper 1Statistical Techniques6 marks

Data Table

Cumulative Frequency Table

The table shows the cumulative frequency distribution of test scores.

Score RangeCumulative Frequency
0-105
10-2015
20-3030
30-4050
40-5070
  1. a

    Calculate Calculate the approximate mean score using the cumulative frequency distribution.

    Aim for approximately 3 distinct marking points.

    [3]
  2. b

    Calculate Calculate the approximate median score using linear interpolation.

    Aim for approximately 3 distinct marking points.

    [3]
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