Plotting Midpoints: Real-world Applications

Mathematics
Year 9
10 questions
~20 mins
1 views0 downloads

About This Worksheet

A worksheet focusing on plotting midpoints for frequency polygons in real-world contexts.

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Plotting Midpoints: Real-world Applications

Subject: MathematicsGrade: Year 9
Name:
Date:
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Untitled Worksheet

Grade Year 9
A

Practice Questions

Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the midpoints for the class intervals: 10-20, 20-30, 30-40.
[3 marks]
2.
Plot the midpoints of the intervals 5-15, 15-25, 25-35 on the grid.
[2 marks]
3.
Given the class intervals 0-10, 10-20, 20-30 with frequencies 5, 12, 8, find the midpoints and explain how they are used in plotting the frequency polygon.
[4 marks]
4.
Construct a frequency polygon using the following data: Class intervals 0-10 (frequency 4), 10-20 (6), 20-30 (10), 30-40 (8).
[3 marks]
5.
A histogram shows class intervals 10-20, 20-30, 30-40 with frequencies 7, 14, 21. Calculate the midpoints and explain why these are important in constructing the frequency polygon.
[4 marks]
6.
Plot midpoints for class intervals 12-22, 22-32, 32-42 and connect the points to form a frequency polygon.
[3 marks]
7.
Explain a common mistake made when plotting midpoints for frequency polygons and how to avoid it.
[3 marks]
8.
Given class intervals 0-10, 10-20, 20-30 with frequencies 3, 9, 15, calculate midpoints and sketch the frequency polygon on the grid.
[3 marks]
9.
For the class intervals 8-18, 18-28, 28-38 with frequencies 6, 10, 4, find midpoints and describe how they help create a frequency polygon.
[4 marks]
10.
Plot midpoints for class intervals 3-13, 13-23, 23-33 and draw the frequency polygon using the given data: 8, 12, 16.
[3 marks]

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Details

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