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%

39
39

87%
87%

6

1 answer

To find the conditional relative frequency of students walking to school, given that they live more than a mile away, we need to look at the number of students who live more than a mile away and walk to school.

From the table:

  • The total number of students who live more than a mile away is 58.
  • The number of students who live more than a mile away and walk to school is 6.

To find the conditional relative frequency, we use the formula:

\[ \text{Conditional relative frequency} = \frac{\text{Number of students who walk and live more than a mile away}}{\text{Total number of students who live more than a mile away}} \times 100 \]

Substituting the values we have:

\[ \text{Conditional relative frequency} = \frac{6}{58} \times 100 \approx 10.34% \]

Rounding this to the nearest whole number gives approximately 10%.

Thus, the correct answer is 10%.