Question

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)

Answer 1

To find the median, we first need to order the data sets from least to greatest:

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:
- Total number of values = 15
- Median = average of the middle two values = (8+10) / 2 = 9

For Class 2:
- Total number of values = 15
- Median = 7th value = 7

The difference in medians is 9 - 7 = 2. Therefore, Class 1 has a higher median by 2 units.