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 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 0.5 mile. Class 1 has a higher median than Class 2 by 0.5 mile. Class 1 has a higher median than Class 2 by 1 mile.
To find the median, we first need to arrange the data in ascending order:
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
Next, we find the medians for each class. Since each class has an odd number of data points, the median is the middle value.
For Class 1, the median is 8.
For Class 2, the median is 7.
The difference between the medians is 8 - 7 = 1 mile. Therefore, Class 1 has a higher median by 1 mile.