## Related questions with answers

Of the 281 players with at least 300 plate appearances in the 2008 Major League Baseball season, Jeff Mathis of the Los Angeles Angels had the lowest batting average ( $0.194)$ and Brad Wilkerson of the Toronto Blue Jays scored the fewest runs (21). Overall, the mean batting average was $0.272$, with a standard deviation of $0.027$, and the mean number of runs scored was $65.0$, with a standard deviation of 23.6. Which PERFORMANCE was worse? Explain, using the methods of this chapter.

Solution

VerifiedWe want to determine the performance which was WORSE.

We will compare batting average and runs scored in deviations from the mean to the standard deviation of each distribution. This will tell us how far each performance is below the mean, relative to the performances of the other eligible players in the distribution. (basically we will calculate $z$-scores for both batting average and runs scored in).

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