The data shows the number of miles run per week by randomly selected students from two different classes. Find the differences classes. Find the differences between the medians. Which class has a higher median? By how much?
Clss1:6,8,10,11,14,4,5,8,2,7,7,5,10,12,11
Class:2::6,4,5,6,7,8,12,9,10,11,5,8,7,4,10
First, let's find the medians for each class. To do this, we need to arrange the data in order from smallest to largest:
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
Now we can find the median for each class:
Class 1: Median = 8
Class 2: Median = 7
To find the difference between the medians, we subtract the median of Class 2 from the median of Class 1:
8 - 7 = 1
Therefore, Class 1 has a higher median by 1 mile per week.