Use the table to answer the question.

Question

Preferences Mountains Seaside Island
Hiking 45 20 12
Swimming 12 53 40

Given the data in the table, what is the relative frequency that the people who prefer hiking also prefer mountains? Round the percentage to the nearest tenth.

Answer 1

To find the relative frequency that people who prefer hiking also prefer mountains, we have to look at the intersection of these two preferences.

From the table, we can see that 45 people prefer hiking in the mountains.

To calculate the relative frequency, we divide the number of people who prefer hiking in the mountains by the total number of people who prefer hiking:

Relative frequency = (45 / (45 + 20 + 12)) * 100% = (45 / 77) * 100% ≈ 58.4%

So, the relative frequency that people who prefer hiking also prefer mountains is approximately 58.4%.