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Cambridge IGCSE Mathematics practice

MCQ practice - Create and analyze cumulative frequency tables and diagrams. Ensure that plotted points on the cumulative frequency diagram are clearly indicated, such as with small crosses (×), and connect these points with a smooth curve. Use the cumulative frequency diagrams to estimate and interpret the median, percentiles, quartiles, and interquartile range. - Cumulative frequency diagrams

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Show answerCumulative frequency diagrams revisionRevise the key idea

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MCQ

Type

cambridge_mcq

Style

Topic

Cumulative frequency diagrams

Exam-style question

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What is the first step in creating a cumulative frequency diagram?.

  1. A.Plotting points on a graph
  2. B.Constructing a cumulative frequency table
  3. C.Drawing a smooth curve
  4. D.Calculating the median

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  • Topic focus: Cumulative frequency diagrams.
  • Question style: cambridge_mcq.
  • 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: Cumulative frequency diagrams

Paper 2Core or Extended Mathematics6 marks

Data Table

Time Spent on Homework

The table shows the time intervals and the number of students in each interval.

Time (hours)Number of Students
0-54
5-108
10-1512
15-2010
20-256
  1. a

    Construct a cumulative frequency table for the data.

    Aim for approximately 2 distinct marking points.

    [2]
  2. b

    Plot the cumulative frequency diagram using the table from part (a).

    Aim for approximately 3 distinct marking points.

    [3]
  3. c

    Determine the median time spent on homework from the cumulative frequency diagram.

    Aim for approximately 1 distinct marking point.

    [1]