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 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.
ANSWERS FOR THE QUICK CHECK!
1. Cats, because the range of their weights is less than that of small dogs
2. 1 pound
3. Class 1 has a higher median than Class 2 by 1 mile
4. The ranges of the time taken by Group A and Group B are the same
5. Fertilizer B is generally more...
To find the median for each class, we first need to order the data sets from least to greatest:
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
The medians for each class are the middle numbers in the ordered lists. Since each list has an odd number of values, the median is the middle value directly (7th) from the middle for both classes. Therefore, the medians are:
Median for Class 1 = 8
Median for Class 2 = 7
The difference between the medians is 8 - 7 = 1 mile. This means that Class 1 has a higher median than Class 2 by 1 mile.