Suppose the ratio of the standard deviation of win ? percent to the ideal standard deviation is 2. Explain exactly what this number represents and what this means for the competitiveness of the league.
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This means that the actual standard deviation of win percentage is twice as large as the ideal standard deviation. Show more…
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Suppose in a six-team league, the winning percentages were as follows at the end of the season: Team A, 75%; Team B, 60%; Team C, 50%; Team D, 50%; Team E, 40%; and Team F, 25%. Compute the standard deviation of win percentage based on the formulas in the textbook. Then suppose each team plays a 60-game schedule. Compute the "ideal" benchmark standard deviation of winning percentage based on equal playing strength. Compute the Noll-Scully ratio.
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