Q1, Q2, Q3: Problem Solving & Reasoning
Mathematics
Grade 6
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on calculating and applying the first quartile (Q1), median (Q2), and third quartile (Q3) from cumulative frequency data. Designed for problem solving, reasoning, and real-world contexts.
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Q1, Q2, Q3: Problem Solving & Reasoning
Subject: MathematicsGrade: Grade 6
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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 table below, find the approximate value of Q1.
Cumulative Frequency Table:
Class Interval | Cumulative Frequency
0 - 10 | 5
10 - 20 | 15
20 - 30 | 25
30 - 40 | 35
40 - 50 | 45
Use linear interpolation if necessary.
[3 marks]2.
Using the same table, determine the median (Q2) value.
[3 marks]3.
Calculate the approximate value of Q3 from the cumulative frequency data provided.
[3 marks]4.
Explain why the median (Q2) is located at the 50th percentile of the data. Provide a brief reasoning.
[2 marks]5.
Plot the cumulative frequency curve for the data given in the table. (Draw on the grid.)
[2 marks]6.
A new data set has a median value of 20, Q1 of 15, and Q3 of 25. Which quartile indicates the data spread around the middle 50%? Explain.
[3 marks]7.
In a different dataset, Q1 is at 8, Q2 at 15, and Q3 at 22. Which data point might be considered an outlier? Justify your answer.
[3 marks]8.
Identify and correct the mistake in the following statement:
"The median value (Q2) is always the middle number in the data set."
[2 marks]9.
Given the cumulative frequency table below, find Q1, Q2, and Q3:
Class Interval | Cumulative Frequency
0 - 20 | 10
20 - 40 | 25
40 - 60 | 40
60 - 80 | 50
[4 marks]10.
Challenge: For the data set with Q1 at 10, Q2 at 20, and Q3 at 30, draw a box plot on the grid indicating these quartiles and the median.
[3 marks]11.
A class dataset shows the following cumulative frequencies: 12, 20, 30, 40, 50 at respective intervals. Calculate Q1, Q2, and Q3, and interpret what these values tell us about the data distribution.
[4 marks]Quick Actions
What is Remix?
Create a new worksheet based on this one. Change the grade level, topic, number of questions, or difficulty - then generate a fresh version.
- • Change grade level (Grade 6 → Grade 7)
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet