The data shows the numbers od miles run per week by randomly selected students from two different clases. Find the difference between the medians. Which class has a higher median?
Class1: 6,8,10,11,14,4,5,8,2,7,7,5,10,12,11
Class 2: 6,4,5,6,7,8,12,8,10,11,5,8,7,4,10
To find the median for each class, we first need to arrange the numbers in increasing order:
Class 1: 2, 4, 5, 5, 6, 7, 7, 8, 8, 10, 10, 11, 11, 12, 14
Median for Class 1 = (8 + 10)/2 = 9
Class 2: 4, 4, 5, 5, 6, 6, 7, 7, 8, 8, 10, 10, 11, 12
Median for Class 2 = (7 + 8)/2 = 7.5
The difference between the medians of the two classes is:
9 - 7.5 = 1.5
Therefore, Class 1 has a higher median than Class 2.