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Calcimator

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
  1. Enter total Points or Runs Scored and Points or Runs Allowed for the season.
  2. Set the Total Games in the season (MLB=162, NBA=82, NFL=17, NHL=82).
  3. Select the Sport to apply the correct Pythagorean exponent automatically.
  4. Review the Expected Win Percentage, Expected Wins, and Expected Losses.
  5. Compare Wins Above .500 to actual standings to identify over- or under-performing teams.

How the result changes with Points / Runs Scored

Points / Runs ScoredWin Percentage
10,00099.33%
35,00099.93%
65,00099.98%
90,00099.99%

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

  1. Identify Input Parameters
    4 parameters
    Points / Runs Scored = 700, Points / Runs Allowed = 650, Total Games = 162, Sport = 0 = 5 input(s) provided
  2. Calculate Win Percentage
    53.39 = 53.39
  3. Calculate Expected Wins
    Expected Wins = winPct * totalGames
    86.5 = 86.5
  4. Calculate Expected Losses
    Expected Losses = totalGames - expectedWins
    75.5 = 75.5

Engine last updated .

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