The 8 students in Mrs. Butler's class were asked how many minutes it takes them to get to school in the morning. Here is what they answered.

To find the mean and median travel times for these students, we will follow these steps.

Step 1: Calculate the Mean

To find the mean, we sum all the travel times and divide by the number of students.

Travel times: 15, 7, 3, 6, 13, 13, 11, 12

Sum of travel times: \[ 15 + 7 + 3 + 6 + 13 + 13 + 11 + 12 = 80 \]

Number of students: 8

Mean: \[ \text{Mean} = \frac{\text{Sum of travel times}}{\text{Number of students}} = \frac{80}{8} = 10 \]

Step 2: Calculate the Median

To find the median, we first need to arrange the travel times in ascending order.

Sorted travel times: 3, 6, 7, 11, 12, 13, 13, 15

Since there are 8 students (an even number), the median will be the average of the 4th and 5th values in the sorted list.

4th value: 11
5th value: 12

Median: \[ \text{Median} = \frac{11 + 12}{2} = \frac{23}{2} = 11.5 \]

Summary of Results

• Mean travel time: 10
• Median travel time: 11.5

Thus, the mean travel time is 10 minutes and the median travel time is 11.5 minutes.