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 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.
• Class 2 has a higher median than Class 1 by 1 mile.
To find the median, we need to arrange the numbers in each class in ascending order:
Class 1: 2, 4, 5, 5, 6, 7, 7, 8, 8, 10, 10, 11, 11, 12, 14
Class 2: 4, 4, 5, 6, 6, 7, 7, 8, 8, 9, 10, 10, 11, 12
The medians for each class are the middle values of the arranged numbers:
Class 1 median: 8
Class 2 median: 8
The difference in medians is 8 - 8 = 0.
Therefore, the correct answer is:
• Class 1 and Class 2 have the same median.