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 1 has a higher median than Class 2 by 0.5 mile.
Class 1 has a higher median than Class 2 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 0.5 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 2 has a higher median than Class 1 by 1 mile.
To find the medians, we first need to order the data 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
For Class 1, there are 15 data points, so the median is the 8th value, which is 8 miles.
For Class 2, there are also 15 data points, so the median is the average of the 8th and 9th values, which is (8 + 8) / 2 = 8 miles.
The difference between the medians is 8 - 8 = 0 miles. So, neither class has a higher median than the other.
WRONG
Apologies for the mistake. Let's re-calculate the medians.
For Class 1: 2, 4, 5, 5, 6, 7, 7, 8, 8, 10, 10, 11, 11, 12, 14
There are 15 data points, so the median is the average of the 8th and 9th values, which is (8 + 8) / 2 = 8 miles.
For Class 2: 4, 4, 5, 5, 6, 6, 7, 7, 8, 8, 9, 10, 10, 11, 12
There are 15 data points, so the median is the 8th value, which is 8 miles.
The difference between the medians is 8 - 8 = 0 miles. Therefore, both Class 1 and Class 2 have the same median of 8 miles.