ByBy

--Mean (Average)Mean (Average) = .292 = .292--MedianMedian = .296 = .296--RangeRange = .139 = .139--Mode Mode = .296= .296

--OutliersOutliers: .200, .245, .261, : .200, .245, .261, .272 .291, and .339 .272 .291, and .339--VarianceVariance: .00152: .00152

--Standard DeviationStandard Deviation: .0390: .0390

NOTE: There are TWO 2006 averages because in 2006 Sean Casey started playing for the Detroit Tigers and switched in the same year to the Pittsburg pirates, and therefore was given another batting average.

Sean Casey's Batting Average From 1997 to 2008

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0.050

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1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008

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A New Red Sox, a New Season!A New Red Sox, a New Season! By By In this current 2008 major league baseball season, a new face has appeared on the In this current 2008 major league baseball season, a new face has appeared on the

world famous Red Sox team. Sean Casey has started this season by joining on of the most recently world famous Red Sox team. Sean Casey has started this season by joining on of the most recently successful teams. It seems amazing since he has bounced around from teams like the Cincinnati successful teams. It seems amazing since he has bounced around from teams like the Cincinnati Reds, the Detroit Tigers, and the Pittsburg Pirates But how sure can coaches and fans be that a new Reds, the Detroit Tigers, and the Pittsburg Pirates But how sure can coaches and fans be that a new player will help to even increase the already talented team?player will help to even increase the already talented team?

Well, if anyone would take the time to look at Sean Casey’s record, they’d see that he is Well, if anyone would take the time to look at Sean Casey’s record, they’d see that he is in fact a reliable and very good hitter to have on a team. He even won the Hutch award for fighting in fact a reliable and very good hitter to have on a team. He even won the Hutch award for fighting spirit in 1999.We can also see how trustworthy of a person he is for the fact that he is an active spirit in 1999.We can also see how trustworthy of a person he is for the fact that he is an active member in the Big Brother and Make-A-Wish foundations. He even has his own charity group called member in the Big Brother and Make-A-Wish foundations. He even has his own charity group called “Casey’s Crew.” But still, people want to see some hard, recorded evidence. Just looking at Sean’s “Casey’s Crew.” But still, people want to see some hard, recorded evidence. Just looking at Sean’s statistical record proves the point even more.statistical record proves the point even more.

Although when Sean started his baseball career in 1997, he only had a batting average Although when Sean started his baseball career in 1997, he only had a batting average of .200. Not a very good start to a life dream, but as the years went by and the seasons came, of .200. Not a very good start to a life dream, but as the years went by and the seasons came, Sean kept getting better and better, while his average kept growing. In fact, the next season he Sean kept getting better and better, while his average kept growing. In fact, the next season he jumped to an average of .272. Amazing! Then, even after that he kept going until he reached .332 jumped to an average of .272. Amazing! Then, even after that he kept going until he reached .332 the next season, in 1999. Then after that, he remained in that area, going up and down, until he the next season, in 1999. Then after that, he remained in that area, going up and down, until he eventually got to the .339 average he has this season! I guess being given the chance to try out eventually got to the .339 average he has this season! I guess being given the chance to try out from from Mike Ilitch, Dombrowski, and Jim Leyland (directors of the Detroit Tigers) really was worth it. Of , Dombrowski, and Jim Leyland (directors of the Detroit Tigers) really was worth it. Of course, people could say he could slip up any time, but if people new anything about math, they’d course, people could say he could slip up any time, but if people new anything about math, they’d see how numbers of the past can say more about the future. see how numbers of the past can say more about the future. By averaging all of Sean’s By averaging all of Sean’s batting averages and finding the mean, we can see that his average ‘average’ is a .292, which is batting averages and finding the mean, we can see that his average ‘average’ is a .292, which is very close to a solid .300! Avery good number in the baseball world. By also seeing the median very close to a solid .300! Avery good number in the baseball world. By also seeing the median score, being the middle score of .269, and the mode score (most often occurring) being .296 also, score, being the middle score of .269, and the mode score (most often occurring) being .296 also, we can see that Sean really has the ability to stay in the high marks.we can see that Sean really has the ability to stay in the high marks. Even factors such as outliers Even factors such as outliers (totally out of range numbers) and standard deviation (how far average will usually be from (totally out of range numbers) and standard deviation (how far average will usually be from predicted average) prove his own strength. The outliers of his past seasons predicted average) prove his own strength. The outliers of his past seasons were .200, .245, .272, .291, and .339. That just shows what his usual range is like, from scores were .200, .245, .272, .291, and .339. That just shows what his usual range is like, from scores of .294 to .336, and that’s very good. The standard deviation of all his scores is about .039 (with of .294 to .336, and that’s very good. The standard deviation of all his scores is about .039 (with variation of about .00152), which shows that most of his scores will on be that much lower or higher variation of about .00152), which shows that most of his scores will on be that much lower or higher of his regular average.of his regular average.

So with these factors at work, we can mathematically predict that Sean Casey will be So with these factors at work, we can mathematically predict that Sean Casey will be performing with a .292 batting average next season with a standard deviation of .39, meaning that performing with a .292 batting average next season with a standard deviation of .39, meaning that his scores should only range from about .253-.331, around the average. That’s pretty good for a his scores should only range from about .253-.331, around the average. That’s pretty good for a new Red Sox player.new Red Sox player.