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

Answer 1

To find the medians of both classes, we first need to arrange the data points in order from least to greatest and then determine the median.

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)

Median: The median is the middle number in a sorted list. For 15 numbers, the median is the 8th number. Median of 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, 8, 9, 10, 10, 11, 12
Number of data points: 15 (odd)

Median: For Class 2 (also 15 numbers), the median is again the 8th number. Median of Class 2 = 7

Now we find the difference between the medians: Difference = Median of Class 1 - Median of Class 2 = 8 - 7 = 1

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

Conclusion:

The answer is: Class 1 has a higher median than Class 2 by 1 mile.