Question

Two baseball teams have the following scores for their last three games: otters 6, 12, 15
the jaguars 10, 14, 24
The (MAD) is 3.33 for otters and 5.33 for jaguars! Which team is more consistent and why?

Answer 1

To determine which baseball team is more consistent based on their scores, we can look at the Mean Absolute Deviation (MAD) you provided.

### Calculating the Mean Scores:
1. **Otters** scores: 6, 12, 15
- Mean = (6 + 12 + 15) / 3 = 33 / 3 = 11

2. **Jaguars** scores: 10, 14, 24
- Mean = (10 + 14 + 24) / 3 = 48 / 3 = 16

### Provided Mean Absolute Deviation:
- **Otters**: MAD = 3.33
- **Jaguars**: MAD = 5.33

### Interpretation of MAD:
The MAD measures the average distance between each team's scores and their mean. A lower MAD indicates that the scores are closer to the average, meaning the team is more consistent in their performance.

In this case:
- The Otters have a MAD of 3.33, which means their scores are, on average, 3.33 points away from their mean score of 11.
- The Jaguars have a MAD of 5.33, indicating their scores are, on average, 5.33 points away from their mean score of 16.

### Conclusion:
Based on the MAD values, the **Otters** are more consistent than the **Jaguars** because their MAD (3.33) is lower than that of the Jaguars (5.33). This suggests that the Otters' scores are more closely clustered around their average score compared to the Jaguars.