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Cambridge IGCSE Mathematics practice

exam practice - 1 Compute the mean, median, mode, quartiles, range, and interquartile range for individual datasets and explain the different uses of each measure. 2 Estimate the mean for both grouped discrete and grouped continuous data. 3 Determine the modal class from a grouped frequency distribution. - Averages and measures of spread

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2

Paper

5

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Topic

Averages and measures of spread

Exam-style question

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Paper 2Core or Extended Mathematics5 marks

A grouped frequency table shows the distribution of test scores.

Data Table

Grouped Frequency Distribution

The table shows test scores grouped into intervals.

Score IntervalFrequency
0-103
11-205
21-307
31-404
  1. a

    Determine the modal class of the distribution.

    Aim for approximately 1 distinct marking point.

    [1]
  2. b

    Calculate an estimate of the mean score using the midpoints of the intervals.

    Aim for approximately 4 distinct marking points.

    [4]

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Maths method check

  • Topic focus: Averages and measures of spread.
  • Question style: structured_mathematics.
  • Reasoning demand: reasoning.
  • Check the operation, notation, units, and final answer form against the question before moving on.

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Paper 2 structured question: Averages and measures of spread

Paper 2Core or Extended Mathematics4 marks

Description

Dataset Analysis

Analyze the given dataset to find various statistical measures.

  1. a

    Calculate the mean of the dataset.

    Aim for approximately 2 distinct marking points.

    [2]
  2. b

    Calculate the median of the dataset.

    Aim for approximately 2 distinct marking points.

    [2]