Question

A pet store conducted a survey on the types of pets owned by the stores customers. construct a two-way table summarizing the data. Then find and interpret the relative frequencies by columns

Answer 1

`\begin{array}{cccc}&\text{Own cat}&\text{Do not own cat}&\text{Total}\\\text{Own dog}& 45 & 125 & 170\\\text{Do not own dog}& 78 & 52 & 130 \\\text{Total}& 123 & 177 &300\end{array}`

Explanation:

From the table you can see that

• 45 customers own cat and dog;
• 78 own only cat, then 78+45=123 customers own cat;
• 125 own only dog, then 125+45=170 customers own dog;
• 52 own neither cat, nor dog;
• 78+45+125+52=300 customers in total;
• 300-123=177 customers do not own cat;
• 300-170=130 customers do not own dog.

Two-way table is

`\begin{array}{cccc}&\text{Own cat}&\text{Do not own cat}&\text{Total}\\\text{Own dog}& 45 & 125 & 170\\\text{Do not own dog}& 78 & 52 & 130 \\\text{Total}& 123 & 177 &300\end{array}`