To find the relative frequency of people who prefer hiking and also prefer mountains, we need to calculate the ratio of people who prefer hiking in the mountains to the total number of people who prefer hiking.
From the table:
- Preferences for hiking in the mountains = 45
- Preferences for hiking in the seaside = 20
- Preferences for hiking on the island = 12
First, we calculate the total number of people who prefer hiking:
Total hiking preferences = 45 (mountains) + 20 (seaside) + 12 (island) = 77
Next, we calculate the relative frequency of hiking preferences among mountain lovers:
Relative frequency = (Number of people who prefer hiking in the mountains) / (Total number of people who prefer hiking)
Relative frequency = 45 / 77
To express this as a percentage, we multiply by 100:
Relative frequency percentage = (45 / 77) * 100 ≈ 58.4418%
Rounding to the nearest tenth, we get:
Relative frequency ≈ 58.4%