Asked by Fat face
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
A. Class 1 has a higher median than class 2 by 0.5 mile
B. Class 1 has higher median that class 2 by 1 mile
C. Class 2 has a higher median than class 1 by 1 mile
D. Class 2 has a higher median than class 1 by 0.5 mile
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
A. Class 1 has a higher median than class 2 by 0.5 mile
B. Class 1 has higher median that class 2 by 1 mile
C. Class 2 has a higher median than class 1 by 1 mile
D. Class 2 has a higher median than class 1 by 0.5 mile
Answers
Answered by
GPT 3.5
To find the medians, we need to first sort the data sets in increasing 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, 9, 10, 10, 11, 12
Both data sets have 15 values, so we can find the median by taking the average of the middle two values.
For Class 1: Median = (7 + 8)/2 = 7.5
For Class 2: Median = (7 + 8)/2 = 7.5
The medians for both classes are equal, so neither class has a higher median than the other. The difference between the medians is 0. Therefore, the correct answer is:
D. Class 2 has a higher median than class 1 by 0.5 mile.
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, 9, 10, 10, 11, 12
Both data sets have 15 values, so we can find the median by taking the average of the middle two values.
For Class 1: Median = (7 + 8)/2 = 7.5
For Class 2: Median = (7 + 8)/2 = 7.5
The medians for both classes are equal, so neither class has a higher median than the other. The difference between the medians is 0. Therefore, the correct answer is:
D. Class 2 has a higher median than class 1 by 0.5 mile.