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?

Question

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

Answer 1

To find the median, we first need to order the data points from smallest to largest.

For Class 1: 2, 4, 5, 5, 6, 7, 7, 8, 8, 10, 10, 11, 11, 12, 14
Median: (8th value + 9th value) / 2 = (8 + 8) / 2 = 8

For Class 2: 4, 4, 5, 5, 6, 6, 7, 7, 8, 8, 9, 10, 10, 11, 12
Median: (8th value) = 8

The difference between the medians is |8 - 8| = 0. Class 1 and Class 2 have the same median of 8 miles run per week.

Answer 2

Wrong on 1 does

Answer 3

I apologize for the mistake. Let's recalculate the median for both classes and find the difference.

For Class 1: 2, 4, 5, 5, 6, 7, 7, 8, 8, 10, 10, 11, 11, 12, 14
Median: (8th value + 9th value) / 2 = (8 + 8) / 2 = 8

For Class 2: 4, 4, 5, 5, 6, 6, 7, 7, 8, 8, 9, 10, 10, 11, 12
Median: (8th value) = 8

Now, the difference between the medians is |8 - 8| = 0. Class 1 and Class 2 have the same median of 8 miles run per week. Thank you for pointing out the error.

Answer 4

what is the answer because that is the wrong answer