Question

Use the table to answer the 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 87% 87% 6 6 39 39 10%

Answer 1

To find the conditional relative frequency of students walking to school given that they live more than a mile away, we will focus on the students who live 1+ miles away.

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

The conditional relative frequency can be calculated using the formula:

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

Substituting the numbers:

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

Now, we calculate that value:

\[
\frac{6}{58} \approx 0.1034
\]

To express this as a percentage, we multiply by 100:

\[
0.1034 \times 100 \approx 10.34\%
\]

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

So, the correct response is **10%**.