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%

10%
10%

39
39

6

1 answer

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

From the table, we see:

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

The conditional relative frequency can be calculated using the formula:

\[ \text{Conditional Relative Frequency} = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes in the conditional group}} \]

Substituting the numbers we have:

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

Now, we can calculate this fraction:

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

To convert this to a percentage, multiply by 100:

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

Rounding to the nearest whole number:

\[ \approx 10% \]

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