Cambridge IGCSE Mathematics practice

exam 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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Cumulative frequency diagrams

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Paper 2Core or Extended Mathematics6 marks

A group of students recorded the time they spent on homework each week. The data is grouped into intervals, and you are asked to analyze it using a cumulative frequency diagram.

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
0-5	4
5-10	8
10-15	12
15-20	10
20-25	6

a
Construct a cumulative frequency table for the data.
Your answer
Aim for approximately 2 distinct marking points.
[2]
b
Plot the cumulative frequency diagram using the table from part (a).
Your answer
Aim for approximately 3 distinct marking points.
[3]
c
Determine the median time spent on homework from the cumulative frequency diagram.
Your answer
Aim for approximately 1 distinct marking point.
[1]

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Topic focus: Cumulative frequency diagrams.
Question style: structured_mathematics.
Reasoning demand: reasoning.
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Paper 2 structured question: Cumulative frequency diagrams