The data shows the number of miles run per week by randomly selected students from two different classes. Find the difference between the medians. Which class has a higher median? By how much? Class 1: 6, 8, 10, 11, 14, 4, 5, 8, 2, 7, 7, 5, 10, 12, 11 Class 2: 6, 4, 5, 6, 7, 8, 12, 9, 10, 11, 5, 8, 7, 4, 10 (1 point) Responses Class 2 has a higher median than Class 1 by 1 mile. Class 2 has a higher median than Class 1 by 1 mile. Class 1 has a higher median than Class 2 by 0.5 mile. Class 1 has a higher median than Class 2 by 0.5 mile. Class 2 has a higher median than Class 1 by 0.5 mile. Class 2 has a higher median than Class 1 by 0.5 mile. Class 1 has a higher median than Class 2 by 1 mile. Class 1 has a higher median than Class 2 by 1 mile.
To find the median of Class 1, we first need to order the data: 2, 4, 5, 5, 6, 7, 7, 8, 8, 10, 10, 11, 11, 12, 14. The median is the middle value when the data is ordered, which in this case is 8.
To find the median of Class 2, we first need to order the data: 4, 4, 5, 5, 6, 6, 7, 7, 8, 8, 9, 10, 10, 11, 12. The median is the middle value when the data is ordered, which in this case is 7.
The difference between the medians is 7 - 8 = -1. Therefore, Class 1 has a higher median by 1 mile. So, the correct response is: Class 1 has a higher median than Class 2 by 1 mile.