Question

There is a vent diagram - it asked 30 students if they have a cat or dog. 21 have a dog. 16 have a cat. 8 have a dog, but not a cat. How would I put this on a two circle Venn diagram?

Answer 1

dog intersect cat = 13

only cat= 3

Answer 2

The Venn diagram illustrates that out of 30 students surveyed, 21 have dogs, 16 have cats, and 8 have both. The remaining students either have only dogs or only cats.

To represent the information in a two-circle Venn diagram:

1. Label one circle "Dog" and the other "Cat."

2. In the "Dog" circle, write the number 21 (total students with a dog).

3. In the "Cat" circle, write the number 16 (total students with a cat).

4. In the overlapping section of the circles, write the number 8 (students with both a dog and a cat).

5. Subtract the overlapping number (8) from the total number of students with a dog (21 - 8 = 13) and write this number outside the overlapping section in the "Dog" circle. This represents the students with only a dog.

6. Similarly, subtract the overlapping number (8) from the total number of students with a cat (16 - 8 = 8) and write this number outside the overlapping section in the "Cat" circle. This represents the students with only a cat.

This representation accurately reflects the given information about the number of students having a dog, a cat, both, or neither, in a clear and concise manner.