Final answer:
To summarize, we calculated the mean margin of victory as 9.93, identified the median margin of victory as 7, and determined the mode as 3 for a set of football championship data over 15 years.
Step-by-step explanation:
To calculate the mean margin of victory, we sum all the margins of victory and divide by the number of values.
- Add all the margins: 13 + 7 + 3 + 12 + 13 + 32 + 4 + 26 + 7 + 4 + 3 + 3 + 5 + 14 + 3 = 149.
- Divide the total by the number of observations: 149 / 15 = 9.9333, which we can round to 9.93 for practical purposes.
To find the median margin of victory, we order the values and pick the middle one. With 15 values, the 8th value is the median after ordering.
- Order the margins: 3, 3, 3, 3, 4, 4, 5, 7, 7, 12, 13, 13, 14, 26, 32.
- Select the middle (8th) value: 7.
The mode margin of victory is the value that appears most frequently. We can see that the number '3' appears four times, more than any other value, making it the mode.
The mode of the margin of victory is 3.
Therefore, the mean margin of victory is 9.93, the median is 7, and the mode is 3.