Midpoints: Error Analysis & Misconceptions
Mathematics
Grade 7
12 questions
~24 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on understanding and calculating midpoints in grouped data, highlighting common errors and misconceptions to support accurate estimation of the mean.
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Full preview • 12 questions
Midpoints: Error Analysis & Misconceptions
Subject: MathematicsGrade: Grade 7
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Untitled Worksheet
Grade Grade 7
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Calculate the midpoint of the class interval 10–20.
[1 mark]2.
Find the midpoint of the class interval 25–35.
[1 mark]3.
What is the midpoint of the class interval 40–50?
[1 mark]4.
Calculate the midpoint of the class interval 0–10.
[1 mark]5.
A class interval is 15–25. Calculate its midpoint.
[1 mark]6.
Identify the mistake in calculating the midpoint of 5–15 if a student answered 10.
[2 marks]7.
A histogram shows classes with intervals 20–30, 30–40, 40–50. The midpoints are 25, 35, 45 respectively. Explain how the midpoints are used to estimate the mean height of the histogram.
[3 marks]8.
A data set has class intervals 0–10, 10–20, 20–30 with frequencies 5, 10, 15. Calculate the estimated mean using midpoints.
[3 marks]9.
A common mistake is to select the upper or lower bounds as the midpoint. Identify and correct this error in calculating the midpoint of 60–70 if a student answered 70.
[2 marks]10.
Construct a class interval with a midpoint of 50, with a width of 10. Write its lower and upper bounds.
[2 marks]11.
The class interval is 80–90. Students calculated the midpoint as 85. Is this correct? Explain briefly.
[2 marks]12.
A student calculated the midpoint of 70–80 as 75, but the class interval is 70–82. What is the correct midpoint?
[2 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet