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 1:1,6,8,10,11,14,4,5,8,2,7,7,5,10,12,11. Class 2: 2,6,4,5,6,7,8,12,9,10,11,5,8,7,4,10.

1 answer

To find the median for each class, we first need to arrange the data in ascending order:

Class 1: 1, 2, 4, 5, 5, 6, 7, 7, 8, 8, 10, 10, 11, 11, 12, 14
Median for Class 1: (8th + 9th)/2 = (8+8)/2 = 8

Class 2: 2, 4, 4, 5, 5, 6, 6, 7, 7, 8, 8, 9, 10, 10, 11, 12
Median for Class 2: (8th + 9th)/2 = (7+8)/2 = 7.5

The difference between the medians is 8 - 7.5 = 0.5, so Class 1 has a higher median by 0.5 miles.