Preferences: 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.
To find the relative frequency of people who prefer hiking also prefer mountains, we need to use the following formula:
Relative frequency = (Number of people who prefer hiking and mountains) / (Number of people who prefer hiking)
From the data given:
Number of people who prefer hiking and mountains = 45
Number of people who prefer hiking = 45 + 20 + 12 = 77
Relative frequency = 45 / 77 ≈ 0.584
Converting to a percentage, we have:
Relative frequency ≈ 58.4%
Therefore, the relative frequency that people who prefer hiking also prefer mountains is approximately 58.4%.