Use the table to answer the question.

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

Answer 1

To find the conditional relative frequency of students walking to school given they live more than a mile away, we first need to identify the relevant numbers from the table.

From the table:

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

The conditional relative frequency is calculated using the formula:

$$\text{Conditional Relative Frequency}=\frac{\text{Number of students who walk to school and live more than a mile away}}{\text{Total number of students who live more than a mile away}}$$

Substituting in the values:

$$\text{Conditional Relative Frequency}=\frac{6}{58}$$

Calculating this gives:

$$\text{Conditional Relative Frequency}=\frac{6}{58}\approx 0.1034$$

To convert this to a percentage, multiply by 100:

$$0.1034\times 100\approx 10.34$$

Rounding to the nearest whole number, the conditional relative frequency is approximately 10%.

Therefore, the correct response is 10%.