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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 grouped frequency distribution shows the number of students scoring marks in different intervals in a test.

Data Table

Test Scores Frequency Distribution

Number of students in each score interval

Score IntervalFrequency
0-93
10-197
20-2912
30-398
40-495
  1. a

    Calculate the midpoints of each score interval.

    Aim for approximately 2 distinct marking points.

    [2]
  2. b

    Plot a frequency polygon using the midpoints and frequencies. Include points with zero frequency before the first and after the last midpoint to close the polygon.

    Aim for approximately 4 distinct marking points.

    [4]

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Paper 1 structured question: Frequency distributions

Paper 1Statistical Techniques6 marks

Data Table

Test Scores for Class A and Class B

Number of students in each score interval

Score IntervalClass A FrequencyClass B Frequency
0-924
10-1956
20-29108
30-3979
40-4963
  1. a

    Plot frequency polygons for both Class A and Class B on the same axes using the midpoints of the score intervals.

    Aim for approximately 3 distinct marking points.

    [3]
  2. b

    Compare the two frequency polygons and comment on the differences in the distributions of Class A and Class B.

    Aim for approximately 3 distinct marking points.

    [3]