Cambridge IGCSE Mathematics practice

exam practice - 1 Create and analyze histograms, ensuring the vertical axis is marked as 'Frequency density'. 2 Perform calculations involving frequency density, which is determined by dividing frequency by class width. - Histograms

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Paper

Marks

Topic

Histograms

Exam-style question

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Paper 2Core or Extended Mathematics6 marks

A survey records the heights of students in a class. The data is grouped into intervals, and a histogram is to be constructed.

Data Table

The table shows the frequency of students' heights in different intervals.

a
Calculate the frequency density for the interval 160-165 cm.
Your answer
Aim for approximately 2 distinct marking points.
[2]
b
Construct a histogram using the data provided.
Your answer
Aim for approximately 4 distinct marking points.
[4]

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Topic focus: Histograms.
Question style: structured_mathematics.
Reasoning demand: reasoning.
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Paper 2Core or Extended Mathematics5 marks

Data Table

The table shows the frequency of time spent on tasks in different intervals.

a
Calculate the frequency density for the interval 10-20 minutes.
Your answer
Aim for approximately 2 distinct marking points.
[2]
b
Describe how the histogram would differ if the class width for the interval 30-40 minutes was changed to 30-50 minutes, keeping the frequency the same.
Your answer
Aim for approximately 3 distinct marking points.
[3]