Question

what is the relative frequency that the people who prefer hiking also prefer mountains round the percentage to the nearest 10th

Presences Mountains Seaside Island
hiking: 45 20 12
swimming: 12 53 40

Answer 1

To find the relative frequency that people who prefer hiking also prefer mountains, you can use the following formula:

\[
\text{Relative Frequency} = \frac{\text{Number of people who prefer both hiking and mountains}}{\text{Total number of people who prefer hiking}}
\]

From the data provided:
- The number of people who prefer both hiking and mountains is **45**.
- The total number of people who prefer hiking is \( 45 + 20 + 12 = 77 \).

Now, substitute these values into the formula:

\[
\text{Relative Frequency} = \frac{45}{77} \approx 0.5844
\]

To express this as a percentage, multiply by 100:

\[
0.5844 \times 100 \approx 58.44\%
\]

Rounding to the nearest tenth gives:

\[
\text{Relative Frequency} \approx 58.4\%
\]

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