Question

Use the table to answer the 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 that people who prefer island vacations also prefer swimming, we first need to determine the total number of people who prefer island vacations.

From the table, we see the preferences for the island are:
- Hiking: 12
- Swimming: 40

Now, we will calculate the total number of people who prefer island vacations:

Total for Island = Hiking + Swimming = 12 + 40 = 52

Next, we find the number of people who prefer swimming and also prefer island vacations, which is 40 (from the data).

Now, we can calculate the relative frequency:

Relative Frequency (Swimming | Island) = (Number of people who prefer Swimming on Island) / (Total number of people who prefer Island)

Relative Frequency = 40 / 52

Now we can convert this fraction to a percentage:

Relative Frequency Percentage = (40 / 52) * 100 ≈ 76.9231

Rounding this to the nearest tenth gives us approximately 76.9%.

So, the relative frequency that people who prefer island vacations also prefer swimming is **76.9%**.