Question

Which sport was most preferred by people ages 20-29, and what is the relative frequency within this age group?

1) Skiing
2) Swimming
3) Kayaking
4) Hiking

Answer 1

Based on the provided data, hiking seems to be the most preferred sport among people aged 20-29, with a relative frequency of approximately 45.89%.

The correct answer is options 4) Hiking.

Explanation:

Let's calculate the relative frequencies for each sport based on the provided data:

1. Skiing:

`\[ \text{Relative Frequency (Skiing)} = (15)/(15 + 88 + 42 + 123) * 100 = (15)/(268) * 100 \approx 5.60\% \]`

2. Swimming:

`\[ \text{Relative Frequency (Swimming)} = (88)/(15 + 88 + 42 + 123) * 100 = (88)/(268) * 100 \approx 32.84\% \]`

3. Kayaking:

`\[ \text{Relative Frequency (Kayaking)} = (42)/(15 + 88 + 42 + 123) * 100 = (42)/(268) * 100 \approx 15.67\% \]`

4. Hiking:

`\[ \text{Relative Frequency (Hiking)} = (123)/(15 + 88 + 42 + 123) * 100 = (123)/(268) * 100 \approx 45.89\% \]`

So, based on the provided data, hiking seems to be the most preferred sport among people aged 20-29, with a relative frequency of approximately 45.89%.

The correct answer is options 4) Hiking.