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 lived from school. This two-way table summarizes the information. Interpet the table to find the conditional relative frequency of students walking to school, given they live more than a mile away.
A: 39 B: 87% C: 6 D: 10%

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 use the data for students who live 1+ miles away.

From the table:

  • The number of students who live 1+ miles away and walk to school is 6.
  • The total number of students who live 1+ miles away is 58.

The formula for conditional relative frequency is:

\[ \text{Conditional Relative Frequency} = \frac{\text{Number of students in the category}}{\text{Total in the condition group}} \]

Plugging in the values:

\[ \text{Conditional Relative Frequency} = \frac{6}{58} \approx 0.1034 \]

To express this as a percentage:

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

Rounding to the nearest whole number, the conditional relative frequency is approximately 10%.

Thus, the answer is D: 10%.