Relative Frequencies Practice

Use the table to answer the question.

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

To calculate the relative frequency of people who prefer island vacations and also prefer swimming, we need to find the number of people who prefer swimming on islands and divide it by the total number of people who prefer island vacations.

From the table:

  • The number of people who prefer swimming at the island is not given, so we can assume it is 0 (as per the data provided).

  • The total number of people who prefer island vacations is the sum of those who prefer hiking and those who prefer swimming. Since they prefer hiking (12) and there are no swimmers given, the total is:

    \[ \text{Total island preferences} = \text{Hiking on Island} + \text{Swimming on Island} = 12 + 0 = 12 \]

Now, we can calculate the relative frequency:

\[ \text{Relative Frequency} = \frac{\text{Number of Swimming on Island}}{\text{Total Island Preferences}} = \frac{0}{12} = 0 \]

To express this as a percentage:

\[ \text{Relative Frequency as a percentage} = 0 \times 100 = 0% \]

Thus, the relative frequency that people who prefer island vacations also prefer swimming is 0.0%.