smc-681-18-Venn diagrams

Statistics, NAP-J4-CA24 SA

Sixty Year 9 students were surveyed about their pets.

The diagram is missing some information.

How many students own both a dog and a cat?

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`8`

Show Worked Solution

`text(S)text(ince 32 students own a dog,)`

`text(Number that own a dog and a cat)`

`= 32 – 24`

`= 8`

`(text(this can also be done similarly)`

`text{with cats})`

Patrick wants to find the number of people who are enrolled in either a karate class or a surfing class but not both.

Which shaded region in the Venn diagrams represents the information Patrick is looking for?

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Show Worked Solution

`text(Karate or surfing but not both.)`