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Cambridge IGCSE Statistics practice

Paper 1 structured question: Measures of central tendency

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Measures of central tendency

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Paper 1Statistical Techniques6 marks

A cumulative frequency table is provided for a set of data.

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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Paper 1 structured question: Measures of central tendency

Paper 1Statistical Techniques4 marks

Diagram Description

Cumulative Frequency Graph

The graph shows the cumulative frequency distribution of ages in a survey.

  1. a

    Interpret Interpret the graph to estimate the median age.

    Aim for approximately 2 distinct marking points.

    [2]
  2. b

    Explain Explain how the cumulative frequency graph can be used to approximate the mean age.

    Aim for approximately 2 distinct marking points.

    [2]