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 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. Class 1 has a higher median than Class 2 by 0.5 mile.
To find the median for each class, we first need to put the data in 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, 7, 8, 8, 9, 10, 10, 11, 12
Now we can find the medians:
For Class 1, there are 15 data points, so the median is the average of the 8th and 9th data points: (8 + 8) / 2 = 8.
For Class 2, there are 16 data points, so the median is the average of the 8th and 9th data points: (7 + 7) / 2 = 7.
The difference between the medians is 8 - 7 = 1 mile. Therefore, Class 1 has a higher median than Class 2 by 1 mile.