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
87%
87%
10%
10%
39
39
6
Answers
GPT-4o mini
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%**.
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%**.