To find the difference between the medians of the two classes, we first need to calculate the medians for both Class 1 and Class 2.
Here's the data for each class:
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
Step 1: Sort the data for both classes
Sorted Class 1: 2, 4, 5, 5, 6, 7, 7, 8, 8, 10, 10, 11, 11, 12, 14
Sorted Class 2: 4, 4, 5, 5, 6, 6, 7, 7, 8, 8, 9, 10, 10, 11, 12
Step 2: Find the median for Class 1
Class 1 has 15 data points (odd number), so the median is the middle value:
- Middle position: \( (15 + 1) / 2 = 8 \)
The 8th value in the sorted list is:
- Median of Class 1 = 8
Step 3: Find the median for Class 2
Class 2 also has 15 data points (odd number), so the median is the middle value:
- Middle position: \( (15 + 1) / 2 = 8 \)
The 8th value in the sorted list is:
- Median of Class 2 = 7
Step 4: Calculate the difference between the medians
Now, we find the difference in the medians:
- Difference = Median of Class 1 - Median of Class 2
- Difference = 8 - 7 = 1 mile
Conclusion:
Class 1 has a higher median than Class 2 by 1 mile.
Therefore, the correct response is:
Class 1 has a higher median than Class 2 by 1 mile.