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)

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 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

[AI-generated answer — Bot GPT 3.5]

To find the median for each class, we first need to order the data from least to greatest.

For Class 1: 2, 4, 5, 5, 6, 7, 7, 8, 8, 10, 10, 11, 11, 12, 14
The median for Class 1 is the average of the two middle numbers, which are the 8th and 9th numbers: (8 + 8) / 2 = 8

For Class 2: 4, 4, 5, 5, 6, 6, 7, 7, 8, 8, 9, 10, 10, 11, 12
The median for Class 2 is the 8th number: 7

The difference between the two medians is 8 - 7 = 1

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