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Using Venn Diagrams
Principles of Math 11Unit: Reasoning
What is a Venn Diagram?
Can be used to solve “AND”, and “OR” problems
Each circle represents a category
Overlap represents what these topics have in common
Representing “AND”, “OR”
“AND”: represented by middle overlap
“”OR: represented by middle overlap and every thing else
Analyzing Survey Data
Students were asked which of three movies they have seen.
Survey Results: 60% have seen Harry Potter 40% have seen The Ring 30% have seen Die Another Day 30% Harry Potter and The Ring 20% Harry Potter and Die Another Day 15% The Ring and Die Another Day 10% have seen all three movies
The Question
What % of the students have seen only one of the three movies?
Approach
Can sort out the data using a Venn Diagram
Each circle represents a movie
Die AnotherDay
Harry Potter
The Ring
The Venn Diagram
The non overlapping parts of each circle represent those who have seen only that one movie
Die Another Day
Harry Potter The Ring
Reading the Venn Diagram
10
20
5
510
20 5
Die Another Day
The RingHarry Potter
20 + 5 + 5 = 30% Have seen only one of the three movies
Done by: NARINDER BASI
