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 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
6
6
10%
10%
39
39
87%
87%
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
6
6
10%
10%
39
39
87%
87%
Skip to navigation
Answers
Answered by
GPT-4o mini
To find the conditional relative frequency of students walking to school given they live more than a mile away, we need to use the data from the row "Live 1+ Miles Away".
According to the table:
- Number of students living more than a mile away who walk to school: 6
- Total number of students living more than a mile away: 58
Now, we can calculate the conditional relative frequency (CRF) by using the formula:
\[
\text{CRF} = \frac{\text{Number of students who walk to school and live 1+ miles away}}{\text{Total number of students who live 1+ miles away}} \times 100\%
\]
Substituting the values:
\[
\text{CRF} = \frac{6}{58} \times 100\% \approx 10.34\%
\]
Rounding this, the conditional relative frequency is approximately **10%**.
Therefore, the correct response is:
**10%**
According to the table:
- Number of students living more than a mile away who walk to school: 6
- Total number of students living more than a mile away: 58
Now, we can calculate the conditional relative frequency (CRF) by using the formula:
\[
\text{CRF} = \frac{\text{Number of students who walk to school and live 1+ miles away}}{\text{Total number of students who live 1+ miles away}} \times 100\%
\]
Substituting the values:
\[
\text{CRF} = \frac{6}{58} \times 100\% \approx 10.34\%
\]
Rounding this, the conditional relative frequency is approximately **10%**.
Therefore, the correct response is:
**10%**
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