Unequal Class Widths: Mixed Review

Mathematics
Grade 8
10 questions
~20 mins
1 views0 downloads

About This Worksheet

A worksheet reviewing the concept of histograms with unequal class widths, focusing on frequency density calculations, problem-solving, and real-world applications.

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Unequal Class Widths: Mixed Review

Subject: MathematicsGrade: Grade 8
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Untitled Worksheet

Grade Grade 8
A

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the frequency density for the class interval 20-30 hours if the frequency is 15 and the class width is 10.
[2 marks]
2.
What is the class width for the interval 40-55 minutes?
[1 mark]
3.
If the frequency density of a class is 2 and the class width is 12, what is the frequency?
[2 marks]
4.
Construct a histogram with the following data: Class intervals 10-20, 20-35, 35-55, with frequencies 12, 24, and 18 respectively. Calculate the corresponding frequency densities and plot the histogram.
[4 marks]
5.
A histogram shows the distribution of daily screen time. The class interval 1-3 hours has a frequency of 20, with a class width of 2. Calculate the frequency density for this class.
[2 marks]
6.
Explain why frequency density is important when class widths are unequal in a histogram.
[3 marks]
7.
A histogram has a class interval of 60-80 seconds with a frequency of 10 and a class width of 20. Find the frequency density.
[2 marks]
8.
Identify and correct the mistake: A student calculated the frequency density as 5 for a class interval 30-50 with a frequency of 40, but used a class width of 25.
[3 marks]
9.
Using the data: class intervals 0-10, 10-20, 20-40 with frequencies 8, 12, 20. Calculate the total area of the histogram if plotted with frequency density.
[4 marks]
10.
Challenge: A histogram with unequal class widths shows a peak in the class 50-70 seconds. The frequency is 25, and the class width is 20. Find the frequency density and interpret what the height of this bar indicates about the data.
[3 marks]

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Details

Created
1/1/2026
Updated
1/1/2026
Type
worksheet