Final Answer:
A second team in the same division scores a mean of 4.5 goals in its first 10 games, with the same MAD as the team above. The main difference between the two is that the second team scored more goals on average thus option A is correct
Step-by-step explanation:
The Mean Absolute Deviation (MAD) provides a measure of the spread of data points around the mean. Since the second team has the same MAD as the first team but a higher mean (4.5 goals), it indicates that the second team's goal-scoring performance is more consistent and higher on average compared to the first team. Therefore, the correct answer is A; that the second team scored more goals on average.
In mathematical terms, MAD is a measure of dispersion, calculated by finding the average of the absolute differences between each data point and the mean. The fact that both teams have the same MAD suggests a similar level of variability, but since the second team has a higher mean, it implies a greater average goal-scoring performance.
This information is crucial for assessing the teams' performance and provides valuable insights into the consistency and effectiveness of their goal-scoring abilities. The analysis allows for a more comprehensive understanding of the teams' comparative performance beyond just the mean values.