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 their Mean Absolute Deviation (MAD) is lower at 3.33 compared to the Panthers' MAD of 5.33. The Mean Absolute Deviation measures the average distance of each data point from the mean of the dataset, providing insight into the variability of the team's scores.
In the case of the Otters, their scores in the last three games—6, 12, and 15—are relatively close to their average score of 11. The MAD of 3.33 indicates that, on average, their scores deviate from the mean by 3.33 points, suggesting that their performance is consistent and not widely fluctuating.
Conversely, the Panthers scored 10, 14, and 24, resulting in a higher average score of 16.67. Their MAD of 5.33 signifies that their scores differ from the mean by an average of 5.33 points, indicating a greater level of variability. The presence of a significantly higher score of 24 in one of their games contributes to this increased variability, suggesting that their performance is less stable.
Therefore, the comparison of the two teams' MAD demonstrates that the Otters are more consistent in their scoring, as evidenced by their lower MAD, which reflects less variability in their performance over the three games analyzed.
In the case of the Otters, their scores in the last three games—6, 12, and 15—are relatively close to their average score of 11. The MAD of 3.33 indicates that, on average, their scores deviate from the mean by 3.33 points, suggesting that their performance is consistent and not widely fluctuating.
Conversely, the Panthers scored 10, 14, and 24, resulting in a higher average score of 16.67. Their MAD of 5.33 signifies that their scores differ from the mean by an average of 5.33 points, indicating a greater level of variability. The presence of a significantly higher score of 24 in one of their games contributes to this increased variability, suggesting that their performance is less stable.
Therefore, the comparison of the two teams' MAD demonstrates that the Otters are more consistent in their scoring, as evidenced by their lower MAD, which reflects less variability in their performance over the three games analyzed.