Use the table to answer the question.
Hiking: 45 mountains, 20 seaside, 12 island.
Swimming: 12 mountains, 53 seaside, 40 island.
Given the data in the table, what is the relative frequency that people who prefer hiking also prefer mountaints? Round the percentage to the nearest tenth.
To find the relative frequency that people who prefer hiking also prefer mountains, we can use the following formula:
Relative frequency = (number of people who prefer hiking and mountains) / (total number of people who prefer hiking)
From the data, we can see that there are 45 people who prefer hiking mountains. So, the relative frequency is:
Relative frequency = 45 / 45 = 1
Multiplying by 100 to convert to percentage, the relative frequency is 100%.
Therefore, the relative frequency that people who prefer hiking also prefer mountains is 100%.
thats wrong
Apologies for the mistake. Let's correct the calculation.
From the data in the table, we can see that out of the people who prefer hiking (45 mountains, 20 seaside, 12 island), 45 prefer mountains.
Therefore, the relative frequency that people who prefer hiking also prefer mountains is:
Relative frequency = 45 mountains / (45 mountains + 20 seaside + 12 island)
Relative frequency = 45 / (45 + 20 + 12)
Relative frequency = 45 / 77
Relative frequency ≈ 0.5844
Converting this to a percentage:
Relative frequency ≈ 0.5844 * 100
Relative frequency ≈ 58.44%
Therefore, the relative frequency that people who prefer hiking also prefer mountains is approximately 58.4%.