Pythagorean Wins Calculator
Expected wins from runs or points scored and allowed using the Pythagorean win expectation formula.
Inputs
Results
Win Percentage
53.39%
Expected Wins86.5
Expected Losses75.5
Exponent Used1.83
Scoring Diff / Game0.31
Wins Above .5005.5
How to Use This Calculator
- Enter total Points or Runs Scored and Points or Runs Allowed for the season.
- Set the Total Games in the season (MLB=162, NBA=82, NFL=17, NHL=82).
- Select the Sport to apply the correct Pythagorean exponent automatically.
- Review the Expected Win Percentage, Expected Wins, and Expected Losses.
- Compare Wins Above .500 to actual standings to identify over- or under-performing teams.
How the result changes with Points / Runs Scored
| Points / Runs Scored | Win Percentage |
|---|---|
| 10,000 | 99.33% |
| 35,000 | 99.93% |
| 65,000 | 99.98% |
| 90,000 | 99.99% |
What each input means
- Points / Runs Scored
- Total points or runs scored over the season.
- Points / Runs Allowed
- Total points or runs allowed over the season.
- Total Games
- Number of games in the season (MLB=162, NBA=82, NFL=17, NHL=82).
- Sport
- Select the sport to use the appropriate Pythagorean exponent.
- Custom Exponent
- Only used when Sport is set to 4 (Custom). Higher exponents mean extreme records are more likely.
What each result means
- Win Percentage
- Expected win percentage based on scoring differential.
- Expected Wins
- Projected wins over the full season.
- Expected Losses
- Projected losses over the full season.
- Exponent Used
- The Pythagorean exponent applied for the selected sport.
- Scoring Diff / Game
- Average scoring differential per game.
- Wins Above .500
- How many wins above or below a .500 record.
How this is calculated
Worked example, using the default values
- Identify Input Parameters4 parametersPoints / Runs Scored = 700, Points / Runs Allowed = 650, Total Games = 162, Sport = 0 = 5 input(s) provided
- Calculate Win Percentage53.39 = 53.39
- Calculate Expected WinsExpected Wins = winPct * totalGames86.5 = 86.5
- Calculate Expected LossesExpected Losses = totalGames - expectedWins75.5 = 75.5
Engine last updated .
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