Given the data in the table what is the relative frequency that the people who prefer island vacation also prefer swimming? Round the percentage to the nearest tenth.
Hiking - mountains 45
Hiking- seaside 20
Hiking- island 12
Swimming- mountains 12
Swimming- seaside 53
Swimming- island 40
To find the relative frequency of people who prefer island vacations and also prefer swimming, we need to divide the number of people who prefer both activities by the total number of people who prefer island vacations.
Relative frequency = Number of people who prefer swimming on island / Total number of people who prefer island vacation
Relative frequency = 40 / 12 + 20 + 45 = 40 / 77 ≈ 0.52
Converting this to a percentage gives:
Relative frequency ≈ 0.52 * 100% = 52%
Therefore, the relative frequency of people who prefer island vacations also prefer swimming is approximately 52%.
Incorrect.
I apologize for the mistake in my previous calculations. Let's correct it now:
To find the relative frequency that people who prefer island vacations also prefer swimming, we need to consider the number of people who prefer swimming on an island out of the total number of people who prefer island vacations.
Total number of people who prefer island vacations = 12 + 20 + 45 = 77
Number of people who prefer swimming on an island = 40
Relative frequency = Number of people who prefer swimming on an island / Total number of people who prefer island vacations
Relative frequency = 40 / 77 ≈ 0.5195
Converting this to a percentage gives:
Relative frequency ≈ 0.5195 * 100% ≈ 51.95%
Therefore, the relative frequency of people who prefer island vacations also prefer swimming is approximately 51.9% when rounded to the nearest tenth.