Use the table to answer the question.

Question

The table shows people's preferences for vacation activities (such swimming or hiking) and where they would want to go.
Preferences Mountains Seaside Island
Hiking 45 20 12
Swimming 12 53 40
Given the data in the table, what is the relative frequency that people who prefer island vacations also prefer swimming? Round the percentage to the nearest tenth.

(1 point)

Answer 1

To find the relative frequency of people who prefer swimming among those who prefer island vacations, we need to determine the number of people who prefer swimming to the total number of people who prefer island vacations.

From the table:

• People who prefer swimming at the island: 40
• People who prefer hiking at the island: 12

Now we can calculate the total number of people who prefer island vacations by adding those who prefer swimming and those who prefer hiking:

Total island preferences = 40 (swimming) + 12 (hiking) = 52

Next, we calculate the relative frequency of people who prefer swimming among the island vacationers:

Relative frequency = (Number of people who prefer swimming at the island) / (Total island preferences)

Relative frequency = 40 / 52

Now, we can convert this to a percentage:

Relative frequency as a percentage = (40/52) * 100 ≈ 76.9231%

Rounding to the nearest tenth, the relative frequency is approximately:

76.9%