To find the median of each set of data, we first need to arrange the numbers in each set in ascending order. Then, we can determine the median based on whether there is an odd or even number of data points.
Set One: 12, 8, 6, 4, 10, 1
- Arrange in ascending order: 1, 4, 6, 8, 10, 12
- There are 6 numbers (even), so the median is the average of the two middle numbers (6 and 8): \[ \text{Median} = \frac{6 + 8}{2} = \frac{14}{2} = 7 \] Median: 7
Set Two: 6, 3, 5, 11, 2, 9, 5, 0
- Arrange in ascending order: 0, 2, 3, 5, 5, 6, 9, 11
- There are 8 numbers (even), so the median is the average of the two middle numbers (5 and 5): \[ \text{Median} = \frac{5 + 5}{2} = \frac{10}{2} = 5 \] Median: 5
Set Three: 30, 16, 49, 25
- Arrange in ascending order: 16, 25, 30, 49
- There are 4 numbers (even), so the median is the average of the two middle numbers (25 and 30): \[ \text{Median} = \frac{25 + 30}{2} = \frac{55}{2} = 27.5 \] Median: 27.5
Summary of Medians:
- Set One Median: 7
- Set Two Median: 5
- Set Three Median: 27.5