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.

Answer 1

To calculate the relative frequency that the people who prefer hiking also prefer mountains, we need to use the following formula:

\[
\text{Relative Frequency} = \frac{\text{Number of people who prefer hiking in mountains}}{\text{Total number of people who prefer hiking}} \times 100
\]

From the table:
- The number of people who prefer hiking in mountains = 45
- The total number of people who prefer hiking = Hiking in mountains + Hiking in seaside + Hiking in island = 45 + 20 + 12 = 77

Now we can plug in the values:

\[
\text{Relative Frequency} = \frac{45}{77} \times 100
\]

Calculating this gives:

\[
\text{Relative Frequency} \approx 58.4\%
\]

So, the relative frequency that the people who prefer hiking also prefer mountains is **58.4%** when rounded to the nearest tenth.