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To help you calculate the Z-scores for players A and B, I need the means and standard deviations that are mentioned in the table. The Z-score formula is:

\[
z = \frac{X - \mu}{\sigma}
\]

Where:
- \(X\) is the individual value (the number of home runs),
- \(\mu\) is the mean (average number of home runs),
- \(\sigma\) is the standard deviation.

Once you provide those values, we can calculate the Z-scores for each player and determine whose performance was more impressive.

Do you have access to that table of means and standard deviations, or can you open the icon to view it and share the data here?

Let me know if you need more details, and here are some related questions to explore this concept further:

1. What does a Z-score represent in statistics, and how does it relate to standard deviations?
2. How can Z-scores help in comparing performances across different seasons or contexts?
3. What does it mean if a Z-score is negative versus positive?
4. How would we interpret a Z-score of 0?
5. Can you think of other sports statistics where Z-scores would be helpful in comparing player performances?

**Tip:** Z-scores are useful for comparing data points from different distributions by standardizing the values.

One season, baseball player A hit 55 home runs. During a different season, baseball player B hit 45 home runs. How does the performance of player A compare to the performance of player B? The table available shows the means and standard deviations for the number of home runs scored by all players with at least 502 plate appearances in their respective seasons. Use these to determine whose home run feat was more impressive.

This math problem explores the comparison of baseball home run performances using Z-scores. Calculate the Z-scores for player A (55 home runs) and player B (45 home runs) using the given means and standard deviations. Learn how Z-scores standardize different data sets and determine which player's performance was more impressive.

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