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)
%
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Answer 1

To find the relative frequency of people who prefer hiking and also prefer mountains, we will use the following formula:

\[
\text{Relative Frequency} = \frac{\text{Number of people who prefer hiking in mountains}}{\text{Total number of people who prefer hiking}}
\]

From the table:
- Number of people who prefer hiking in mountains: 45
- Number of people who prefer hiking in all locales:

\[
\text{Total Hiking} = 45 + 20 + 12 = 77
\]

Now, we can calculate the relative frequency:

\[
\text{Relative Frequency} = \frac{45}{77}
\]

Calculating that gives:

\[
\frac{45}{77} \approx 0.5844
\]

To convert this to a percentage, we multiply by 100:

\[
0.5844 \times 100 \approx 58.44\%
\]

Rounding to the nearest tenth gives us:

\[
58.4\%
\]

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