DM topic guide
Venn Diagrams
Reason about inclusion, overlap, exclusion and counts.
Guide page4 of 7
Venn Diagrams
Reason about inclusion, overlap, exclusion and counts.
Methoda clear route through this question type
1
Draw universal relationships first.
3
Place existential facts last.
4
Fill specific overlaps before totals.
◎How to spot it
What will the question look like?
The question describes groups or shows circles and asks what must fit where.
✦Rules to remember
Keep these in view
- All places one set inside another.
- No removes overlap.
- Some guarantees at least one occupied region.
- Circle size is not numerical unless stated.
⚑Common traps
What tends to pull students off course
- Double subtraction
- Forgetting the outside region
- Treating drawn scale as data
See it in actionVenn Diagrams in context
With 80 people, X=45, Y=38 and both=17: X-only is 28, Y-only is 21, the union is 66 and 14 are in neither.
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