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