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 that the people who prefer hiking also prefer mountains, we need to look at the number of people who prefer hiking and how many of those also prefer mountains.
Out of the 45 people who prefer hiking, 12 also prefer mountains.
Relative Frequency = Number of people who prefer hiking and mountains / Number of people who prefer hiking
Relative Frequency = 12 / 45
Relative Frequency = 0.2667
Convert the relative frequency to a percentage:
Relative Frequency as a percentage = 0.2667 * 100
Relative Frequency as a percentage ≈ 26.7%
Therefore, the relative frequency that the people who prefer hiking also prefer mountains is approximately 26.7%.