Question

Question
Use the table to answer the question.

The distribution of hiking and swimming inclinations across mountain, seashore, and island locales is displayed in the table.
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.

(1 point)
%

Answer 1

To calculate the relative frequency that people who prefer hiking also prefer mountains, we need to find the proportion of people who prefer hiking in the mountains compared to the total number of people who prefer hiking across all locales.

From the table:

- The number of people who prefer hiking in the mountains is 45.
- The total number of people who prefer hiking is the sum of people who prefer hiking in all locales:

\[
\text{Total Hiking} = 45 \text{ (Mountains)} + 20 \text{ (Seaside)} + 12 \text{ (Island)} = 77
\]

Now we calculate the relative frequency:

\[
\text{Relative Frequency} = \frac{\text{Number of People who Prefer Hiking in Mountains}}{\text{Total Number of People who Prefer Hiking}} = \frac{45}{77}
\]

Calculating this fraction:

\[
\frac{45}{77} \approx 0.5838
\]

Now, to express this as a percentage, we multiply by 100:

\[
0.5838 \times 100 \approx 58.38\%
\]

Rounding to the nearest tenth:

\[
58.4\%
\]

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