The standard deviation of win percentage for the 32 teams in the NBA in 2005-2006 was 0.134. The NBA plays an 82-game season. The standard deviation of win percentage for the 20 teams in the English Premier League in 2005-2006 was 0.158. The EPL plays a 38-game season. Based on the standard deviation of win percentage for the NBA and EPL, which league is more balanced (competitive)? Explain. Compute the within-season "ideal" standard deviation of win percentage. Compute the within-season ratio (R) of win percentage if the league plays 20 games per season. Explain why the within-season ratio (R) is a better measure to use to compare competitive balance between the NBA and EPL? Based on your above answers, which league is more balanced (competitive)? Explain.
Added by Beatriz N.
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For the NBA: Ideal standard deviation = 0.134 * sqrt(82) = 1.48 For the EPL: Ideal standard deviation = 0.158 * sqrt(38) = 2.55 Show more…
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