How can we compare the ERA’s of Clayton Kershaw vs. Pedro Martinez, if they pitched in different baseball eras? Simple: calculate their z-scores! Using each pitcher’s population mean and standard deviation, we can make a direct comparison of how well each of them did, relative to his particular competition. Since we’re in the field of statistics dreams, we’ll also need to discuss their percentiles within the Empirical Rule as well, so we call upon immaculately dressed in-field reporter Jordan Cohen to uncurve this concept.
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Jordan Cohen, Executive Producer -- a rising senior at Brentwood High School dedicated to helping more students access life-changing educational opportunities.
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Tagged under: Z-score,Clayton Kershaw,Pedro Martinez,Empirical Rule,ERA,standard deviation,interquartile range,IQR,outliers,normal distribution,normal curve,bell curve,baseball,pitching,steroids,68-95-99.7,Rule Thumb,Dodgers,sigma,Red Sox,statistics,AP statistics,stats,SAT,ACT,GRE,GMAT,math learning videos,StatsCenter,SportsCenter,The Michelson 20MM Foundation,Jordan Cohen,Gary K. Michelson,Contact Light Films
Find more lesson plans like this:Estimating Areas Under the Normal Curve Using Z-Scores
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