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) 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 1 mile. Class 2 has a higher median than Class 1 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. Skip to navigation

Answer 1

To determine the medians of both classes, we first need to organize the data for each class in ascending order.

Class 1 data:
6, 8, 10, 11, 14, 4, 5, 8, 2, 7, 7, 5, 10, 12, 11
Sorted: 2, 4, 5, 5, 6, 7, 7, 8, 8, 10, 10, 11, 11, 12, 14
Number of data points: 15 (odd number)

Median for Class 1:

• The median is the middle value of the sorted list. Since there are 15 values, the median is the 8th value: Median Class 1 = 8.

Class 2 data:
6, 4, 5, 6, 7, 8, 12, 9, 10, 11, 5, 8, 7, 4, 10
Sorted: 4, 4, 5, 5, 6, 6, 7, 7, 8, 9, 10, 10, 11, 12
Number of data points: 15 (odd number)

Median for Class 2:

• The median is the 8th value: Median Class 2 = 7.

Now let's find the difference between the medians:

Difference = Median Class 1 - Median Class 2 = 8 - 7 = 1.

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