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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 histogram is drawn for a grouped frequency distribution with unequal class widths. The vertical axis is labeled 'frequency density'.

Description

Histogram Description

The histogram has three bars with class widths 2, 4, and 6 units. The heights of the bars are 5, 3, and 2 respectively.

  1. a

    Calculate the frequency for each class interval represented by the bars.

    Aim for approximately 3 distinct marking points.

    [3]
  2. b

    Explain why the vertical axis is labeled 'frequency density' instead of 'frequency'.

    Aim for approximately 3 distinct marking points.

    [3]

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Paper 1 structured question: Frequency distributions

Paper 1Statistical Techniques6 marks

Data Table

Grouped Frequency Distribution of Students by Age

Number of students in each age group

Age group (years)Frequency
10–1415
15–1925
20–2910
  1. a

    Calculate the frequency density for each age group.

    Aim for approximately 3 distinct marking points.

    [3]
  2. b

    Interpret what the histogram bars would show about the distribution of students across age groups.

    Aim for approximately 3 distinct marking points.

    [3]