Question

Walk to School Ride Bus to School Total
Live Less Than 1 Mile Away 39 11 50
Live 1+ Miles Away 6 52 58
Total 45 63 108
At Fairmount Elementary School, 108 students were polled about their mode of transit to school and on the distance they live from school. This two-way table summarizes the information.
Interpret the table to find the conditional relative frequency of students walking to school, given they live more than a mile away.

(1 point)
Responses

39
39

10%
10%

6
6

87%

Answer 1

To find the conditional relative frequency of students walking to school, given that they live more than a mile away, we need to focus on the number of students who walk to school out of those who live more than a mile away.

From the table:
- The number of students who live 1+ miles away is 58.
- The number of students who live 1+ miles away and walk to school is 6.

The conditional relative frequency is calculated as follows:

\[
\text{Conditional Relative Frequency} = \frac{\text{Number of students who walk and live 1+ miles away}}{\text{Total number of students who live 1+ miles away}}
\]

Substituting in the numbers:

\[
\text{Conditional Relative Frequency} = \frac{6}{58} \approx 0.10345
\]

To express this as a percentage, multiply by 100:

\[
0.10345 \times 100 \approx 10.34\%
\]

Thus, rounding to the nearest whole percent, the conditional relative frequency of students walking to school, given they live more than a mile away, is approximately **10%**.

The correct response is:

**10%**