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Cambridge IGCSE Statistics practice

Paper 1 structured question: Frequency distributions

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Frequency distributions

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Paper 1Statistical Techniques6 marks

A group of students recorded the heights of 40 plants in a garden. The data were grouped into class intervals and the cumulative frequencies were calculated as shown below.

Data Table

Cumulative Frequency Table of Plant Heights

The table shows cumulative frequencies for height intervals.

Height (cm)Cumulative Frequency
0 - 105
10 - 2012
20 - 3025
30 - 4035
40 - 5040
  1. a

    Plot Plot a cumulative frequency polygon for the data on graph paper.

    Aim for approximately 3 distinct marking points.

    [3]
  2. b

    Interpret Using the cumulative frequency polygon, estimate the median height of the plants.

    Aim for approximately 3 distinct marking points.

    [3]

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Paper 1 structured question: Frequency distributions

Paper 1Statistical Techniques6 marks

Data Table

Cumulative Frequency Table of Study Hours

The table lists cumulative frequencies for study hours intervals.

Hours StudiedCumulative Frequency
0 - 58
5 - 1020
10 - 1535
15 - 2045
20 - 2550
  1. a

    Sketch Sketch a cumulative frequency curve for the data.

    Aim for approximately 3 distinct marking points.

    [3]
  2. b

    Interpret Use the curve to estimate the number of students who studied more than 12 hours.

    Aim for approximately 3 distinct marking points.

    [3]