Two baseball teams have the following scores for their last three games: otters 6, 12, 15

Question

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.