To find the relative frequency that people who prefer hiking also prefer mountains, we need to use the formula for relative frequency:
\[ \text{Relative Frequency} = \frac{\text{Number of people who prefer hiking in mountains}}{\text{Total number of people who prefer hiking}} \]
From the table:
- Number of people who prefer hiking in mountains = 45
- Number of people who prefer hiking in the seaside = 20
- Number of people who prefer hiking on islands = 12
First, we calculate the total number of people who prefer hiking:
\[ \text{Total who prefer hiking} = 45 + 20 + 12 = 77 \]
Now, we can calculate the relative frequency:
\[ \text{Relative Frequency} = \frac{45}{77} \]
Next, we can find the decimal value:
\[ \frac{45}{77} \approx 0.5844 \]
To convert this to a percentage, we multiply by 100:
\[ 0.5844 \times 100 \approx 58.44% \]
Rounding to the nearest tenth, we get:
\[ \text{Relative frequency} \approx 58.4% \]
Thus, the relative frequency that people who prefer hiking also prefer mountains is 58.4%.