The data shows the numbers od miles run per week by randomly selected students from two different clases. Find the difference between the medians. Which class has a higher median?
Class1: 6,8,10,11,14,4,5,8,2,7,7,5,10,12,11
Class 2: 6,4,5,6,7,8,12,8,10,11,5,8,7,4,10
A. Class 2 has a higher median than class 1 by 1 mile
B. Class 1 has a higher median than class 2 by 1 mile
C Class 2 has a hgiher median than class 1 by 0.5 miles
D. Class 1 has a higher median than class 2 by 0.5 miles
To find the median, we first need to arrange the data in order:
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, 8, 10, 10, 11, 12
For Class 1, the median is the middle value, which is 8.
For Class 2, the median is the average of the two middle values, which are 7 and 8. So, (7+8)/2 = 7.5.
Therefore, the median of Class 1 is 8 and the median of Class 2 is 7.5.
The difference between the medians is 8 - 7.5 = 0.5 miles.
So, the answer is:
C. Class 2 has a higher median than Class 1 by 0.5 miles.