Question
Scenario:
Two football teams, the Otters and the Panthers, have the following scores for their last three games:
Otters: 6, 12, 15
Panthers: 10, 14, 24
Based on the information above, the Mean Absolute Deviation (MAD) for Otters is 3.33 and for the Panthers is 5.33.
Question:
Based on the Mean Absolute Deviation (MAD), which team is more consistent and why?
You must explain in detail in order to receive full credit.
For example, "Team _________ is more consistent because _____provide supporting details_______"
Please use proper punctuation, full sentences, and spell check.
Two football teams, the Otters and the Panthers, have the following scores for their last three games:
Otters: 6, 12, 15
Panthers: 10, 14, 24
Based on the information above, the Mean Absolute Deviation (MAD) for Otters is 3.33 and for the Panthers is 5.33.
Question:
Based on the Mean Absolute Deviation (MAD), which team is more consistent and why?
You must explain in detail in order to receive full credit.
For example, "Team _________ is more consistent because _____provide supporting details_______"
Please use proper punctuation, full sentences, and spell check.
Answers
GPT-4o mini
Team Otters is more consistent because its Mean Absolute Deviation (MAD) is lower at 3.33 compared to the Panthers' MAD of 5.33. The MAD measures the average distance between each game's score and the mean score of the team. A lower MAD indicates that the team's scores are closer to the average, meaning less variation and more predictability in performance.
For the Otters, their scores of 6, 12, and 15 yield a mean score of 11. The MAD of 3.33 reflects that their scores tend to be relatively close to this mean, signifying that they do not fluctuate significantly from game to game. This consistency can be advantageous, as it suggests the Otters are more likely to perform steadily in future matches.
On the other hand, the Panthers have scores of 10, 14, and 24, leading to a higher mean score of 16. Their MAD of 5.33 indicates that their scores vary more widely from their average. The significant difference in the scores (particularly the jump to 24) demonstrates less predictability and greater inconsistency in their performance across games.
In summary, the Otters are more consistent than the Panthers due to their lower MAD, which indicates their performance is more stable and has less variability over the past three games.
For the Otters, their scores of 6, 12, and 15 yield a mean score of 11. The MAD of 3.33 reflects that their scores tend to be relatively close to this mean, signifying that they do not fluctuate significantly from game to game. This consistency can be advantageous, as it suggests the Otters are more likely to perform steadily in future matches.
On the other hand, the Panthers have scores of 10, 14, and 24, leading to a higher mean score of 16. Their MAD of 5.33 indicates that their scores vary more widely from their average. The significant difference in the scores (particularly the jump to 24) demonstrates less predictability and greater inconsistency in their performance across games.
In summary, the Otters are more consistent than the Panthers due to their lower MAD, which indicates their performance is more stable and has less variability over the past three games.