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Relative Frequencies Practice
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Question
Use the table to answer the question.

The distribution of hiking and swimming inclinations across mountain, seashore, and island locales is displayed in the table.
Preferences Mountains Seaside Island
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.

(1 point)
%

1 answer

To find the relative frequency of people who prefer hiking and also prefer mountains, you need to calculate the total number of people who prefer hiking and then find the proportion of those who prefer hiking at mountains.

  1. First, sum the total number of people who prefer hiking:
  • Hiking in Mountains: 45
  • Hiking in Seaside: 20
  • Hiking in Island: 12

Total hiking preferences = 45 + 20 + 12 = 77

  1. Now, since 45 people prefer hiking in the mountains, the relative frequency is calculated as follows:

Relative frequency = (Number of people who prefer hiking in mountains) / (Total number of people who prefer hiking)

Relative frequency = 45 / 77 ≈ 0.5844

  1. To express this as a percentage, multiply by 100:

0.5844 * 100 ≈ 58.44%

  1. Finally, round to the nearest tenth:

Rounded percentage ≈ 58.4%

Therefore, the relative frequency that the people who prefer hiking also prefer mountains is 58.4%.