Finding Frequencies: Real-world Applications
Mathematics
Grade 6
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on finding frequencies within histograms through real-world scenarios and calculations, aimed at Grade 6 students.
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Full preview • 11 questions
Finding Frequencies: Real-world Applications
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.
In a histogram showing the number of books read by students last month, the bar for students reading between 0-2 books has a height of 4, and the bar for 3-5 books has a height of 6. If the total number of students is 20, how many students read more than 5 books?
[2 marks]2.
A histogram shows the number of hours students spend on homework each day. The bar for 1-2 hours is at height 5, and the bar for 3-4 hours is at height 7. If there are 18 students in total, how many students spend more than 4 hours on homework?
[2 marks]3.
Calculate the frequency of students who read between 6-8 books last month if the total is 30 students and the histogram shows bars of heights 3 for 0-2, 5 for 3-5, and 7 for 6-8.
[2 marks]4.
A histogram presents the number of pets owned by students: 2 pets (height 4), 3 pets (height 6), 4 pets (height 5). If 20 students are surveyed, how many students own 1 or fewer pets?
[2 marks]5.
A class's height distribution shows bars of heights 8 for 140-150cm, 10 for 151-160cm, and 6 for 161-170cm. Find the total number of students surveyed.
[3 marks]6.
In a histogram representing daily temperatures, the bar for 20-25°C has height 7, and for 26-30°C has height 5. If the total number of days recorded is 20, how many days had temperatures below 20°C?
[2 marks]7.
Problem Solving: A survey shows students' preferred sports with the following histogram data: Soccer (height 9), Basketball (height 5), Volleyball (height 6). If there are 25 students, how many students prefer other sports not shown?
[3 marks]8.
A histogram shows the number of hours students work out per week: 0-1 hours (height 4), 2-3 hours (height 7), 4-5 hours (height 6). If 22 students are surveyed, how many students work out for 6 or more hours?
[2 marks]9.
Construct a histogram bar for 7-9 books read last month, if you know that 8 students read within this range and total students surveyed is 40, with other ranges showing bars of heights 10, 12, and 10 respectively.
[3 marks]10.
Error Analysis: A student calculated the total number of students as 35 by summing the bar heights: 8 + 7 + 5 + 5. Identify and explain the mistake, assuming the histogram shows these bar heights for different categories.
[4 marks]11.
Mixed Review: If a histogram shows 3 categories with heights 4, 6, and 8, what is the total frequency? Additionally, what does this total represent?
[3 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.
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet