Question

Relative Frequencies Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
1 of 51 of 5 Items
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)

Answer 1

To calculate the relative frequency of people who prefer hiking and also prefer mountains, we need to follow these steps:

1. **Determine the total number of people who prefer hiking**.
- From the table:
- Hiking in Mountains: 45
- Hiking in Seaside: 20
- Hiking in Island: 12
- Total who prefer hiking = 45 + 20 + 12 = 77

2. **Determine the number of people who prefer hiking and mountains**.
- This is already given as 45.

3. **Calculate the relative frequency**.
- Relative frequency = (Number who prefer hiking and mountains) / (Total who prefer hiking)
- Relative frequency = 45 / 77

4. **Convert to percentage and round**.
- Relative frequency as a percentage = (45 / 77) × 100
- Relative frequency ≈ 58.441%

When rounding to the nearest tenth, we get approximately 58.4%.

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