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 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 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 1 mile. Class 1 has a higher median than Class 2 by 1 mile.
To find the median for each class, we first need to order the data:
Class 1: 2, 4, 5, 5, 6, 7, 7, 8, 8, 10, 10, 11, 11, 12, 14
Class 2: 4, 4, 5, 5, 6, 6, 7, 7, 8, 8, 9, 10, 10, 11, 12
Since both classes have an odd number of data points, the median is the middle value. For Class 1, the median is 8, and for Class 2, the median is 7.
The difference between the medians is 8 - 7 = 1 mile.
Therefore, Class 1 has a higher median than Class 2 by 1 mile.