Why Use Venn Diagrams?
June5
Venn Diagrams are pictorial ways of representing interactions among sets to display information that can be read easily. Each set of given information is designated a circle. Interactions between the sets are shown in the circles’ intersections; items common to both sets are found in the intersection whereas other items are found outside the intersection.
Lets do an example problem to show how such a diagram works:
In a survey of children who saw three different shows at Walt Disney World, the following information was gathered:
- 39 children liked The Little Mermaid
- 43 children liked 101 Dalmatians
- 56 children liked Mickey Mouse
- 7 children liked The Little Mermaid and 101 Dalmatians
- 10 children liked The Little Mermaid and Mickey Mouse
- 16 children liked 101 Dalmatians and Mickey Mouse
- 4 children liked The Little Mermaid, 101 Dalmatians, and Mickey Mouse
- 6 children did not like any of the shows
Answer the following questions:
- How many students were surveyed?
- How many liked The Little Mermaid only?
- How many liked 101 Dalmatians only?
- How many liked Mickey Mouse only?Check out the answer here and see why Venn Diagrams are so useful!
