50th Percentile: Challenge & Extension
Mathematics
Grade 6
10 questions
~20 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on understanding and calculating the 50th Percentile (Median) from cumulative frequency data, including practice, reasoning, real-world applications, and extension questions.
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50th Percentile: Challenge & Extension
Subject: MathematicsGrade: Grade 6
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Date:
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Untitled Worksheet
Grade Grade 6
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Given the cumulative frequency data: Class intervals 0-10, 10-20, 20-30, 30-40, 40-50 with cumulative frequencies 5, 15, 25, 30, 35. Find the 50th percentile value.
[2 marks]2.
Construct a cumulative frequency table for the following data: Scores 0-10 (3 students), 10-20 (7 students), 20-30 (10 students), 30-40 (5 students). Determine the median class.
[3 marks]3.
Plot the graph of y=2x for x values from 0 to 10 on the grid.
[2 marks]4.
A class’s test scores grouped in intervals: 0-10, 10-20, 20-30, 30-40, with cumulative frequencies 4, 12, 20, 24. Find the 50th percentile score.
[2 marks]5.
A data set has the following cumulative frequencies: 8, 18, 28, 36, 42 for class intervals 0-10, 10-20, 20-30, 30-40, 40-50. Calculate the median value.
[2 marks]6.
Explain why the median is a better measure of central tendency than the mean for grouped data with outliers.
[3 marks]7.
Given the cumulative frequency table: Class intervals 0-10, 10-20, 20-30, 30-40 with cumulative frequencies 6, 16, 26, 36. What is the 50th percentile class and approximate median?
[2 marks]8.
A survey shows 100 students' test scores. The cumulative frequency for scores up to 60 is 40, up to 70 is 70, up to 80 is 90, and up to 90 is 100. Find the approximate median score.
[2 marks]9.
Identify and correct the mistake in this median calculation: The median is 22, based on the cumulative frequency data where the total frequency is 50, and the median class is 20-30.
[3 marks]10.
Using the data: Class intervals 0-10, 10-20, 20-30, 30-40 with cumulative frequencies 3, 9, 15, 18. Calculate the median class and median value.
[3 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet