se 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

87%
87%

39
39
Skip to navigation

1 answer

To find the conditional relative frequency of students walking to school given that they live more than a mile away, we use the following formula:

\[ \text{Conditional Relative Frequency} = \frac{\text{Number of students walking to school who live 1+ miles away}}{\text{Total number of students who live 1+ miles away}} \]

From the table:

  • Number of students walking to school who live 1+ miles away = 6
  • Total number of students who live 1+ miles away = 58

Now, we can calculate the conditional relative frequency:

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

Now, we convert this fraction to a percentage:

\[ \frac{6}{58} \approx 0.1034 \quad (when calculated this is approximately 0.1034) \] \[ 0.1034 \times 100 \approx 10.34% \]

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

So, the response is:

10%