Question

The Venn diagram represents the results of a survey that asked participants whether they would want a fish or turtle as a pet. Complete the table.

have a don't have Total
fish. a fish.

have turtle __. __. ___
don't have turtle__. __. ___
Total__. __. ___

Answer 1

`\begin{array}{cccc}&\text{Like fish}&\text{Don't like fish}&\text{Total}\\\text{Like turtle}&6&15&21\\\text{Don't like turtle}&11&12&23\\\text{Total}&17&27&44\end{array}`

Explanation:

From the Venn diagram:

• have both turtle and fish - 6 participants;
• have only fish - 11 participants;
• have only turtle - 15 participants;
• don't have pets - 12 participants;

So, in total,

6+11+15+12=44 participants took part in survey.

The two-way table looks like

`\begin{array}{cccc}&\text{Like fish}&\text{Don't like fish}&\text{Total}\\\text{Like turtle}&6&15&21\\\text{Don't like turtle}&11&12&23\\\text{Total}&17&27&44\end{array}`