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)
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 1 has a higher median than Class 2 by 0.5
mile.
Class 1 has a higher median than Class 2 by 1
mile.

1 answer

To find the median, we first need to arrange 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, 8, 8, 9, 10, 10, 11, 12

Now we find the medians:
For Class 1, there are 15 data points, so the median is the average of the 8th and 9th numbers:
Median = (8 + 8) / 2 = 8

For Class 2, there are 15 data points, so the median is the 8th number:
Median = 8

The difference between the medians is:
8 - 8 = 0

Therefore, the correct answer is:
Class 1 has a higher median than Class 2 by 0.5 mile.