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

10%
10%

6
6

39
39

87%

1 answer

To find the conditional relative frequency of students who walk to school given that they live more than a mile away, we need to use the data for students who live 1+ miles away.

From the table:

  • Number of students who live 1+ miles away: 58
  • Number of students who live 1+ miles away and walk to school: 6

The conditional relative frequency of students who walk to school given that they live more than a mile away is calculated as follows:

\[ \text{Conditional Relative Frequency} = \frac{\text{Number of students walking to school (1+ miles away)}}{\text{Total number of students living 1+ miles away}} = \frac{6}{58} \]

Now, we compute:

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

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

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

Thus, rounding to the nearest whole number gives us approximately 10%.

So, the correct response is:

10%.