9/28/2006
THIS POST IS BELOW .500
So last night I was watching the local sports when the announcer said that the Milwaukee Brewers’ road record this year is 25-52. Deplorable. Also typical. What the dude said next, though, completely set me off.
You know it can’t be anything to do with baseball. I don’t care about baseball. No, what had me steaming was when he said that the Brewers were “27 games below .500 on the road.” You hear this all the time. It’s one of those basic sports equations: Losses - Wins = Number of games below .500. 52 - 25 = 27. Right?
If only it were true.
Recalling that a .500 winning percentage means the number of wins and losses are equal, it’s easy to see how that particular equation is dead wrong, particularly in a sport where (except for the 2002 All Star Game) ties aren’t possible. Every game ends in either a win or a loss. Therefore, determine how far a team is below .500, you must determine how many game results must be changed to get an equal number of wins and losses.
The catch is that, since the number of games played remains constant, that means every time you change one number, the other number changes too. Let’s try it, using the 2006 Brewers’ road record as an example. We start with their actual record of 25-52. Now let’s change one loss at a time into a win and see how many steps it take to get the wins above the losses.
| W | L | # of changes |
|---|---|---|
| 26 | 51 | 1 |
| 27 | 50 | 2 |
| 28 | 49 | 3 |
| 29 | 48 | 4 |
| 30 | 47 | 5 |
| 31 | 46 | 6 |
| 32 | 45 | 7 |
| 33 | 44 | 8 |
| 34 | 43 | 9 |
| 35 | 42 | 10 |
| 36 | 41 | 11 |
| 37 | 40 | 12 |
| 38 | 39 | 13 |
| 39 | 38 | 14 |
Well, would you look at that! We only have to change 13.5 game results to get the Brewers to .500! So how can you say the Brew Crew is 27 below .500 on the road? The real answer is that they’re 13.5 games below .500 on the road. That’s still not good, but it’s not nearly as depressing.
It works the other way, too. You’ll hear an NFL team which finishes 10-6 described as “4 games above .500″ but the real number is only 2. See? Things in sports are never as bad (or as good) as they seem at first glance. Even if Temple goes 0-for-2006, the worst they can finish is 6 games below .500.
4 Comments »
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I think you have the wrong approach. “27 games below .500″ doesn’t mean the number of previous losses that must change to wins, but the number of wins the team must have to even their record. Although that is impossible.
Comment by Jon — 9/28/2006 @ 2:34 pm
Your problem is you’re dwelling in the past, where these stats are looking to the future. When a team is, say, 30-50, they have to win their next 20 in a row to get to .500. Hence, they are 20 games from a .500 record, and 20 games below .500.
Comment by crazy tom — 9/28/2006 @ 2:35 pm
You both raise good points, but the winning percentage measures past performance which, as we all know, is no guarantee of future results. (Do I listen to the radio too much or what?) It’s true that, in this case, the Brewers would have to have 20 consecutive road wins to equal out their wins and losses, but that’s not what winning percentage indicates. It indicates how a team has done in the games it has played.
Comment by Mark — 9/28/2006 @ 2:47 pm
And I thought I was a math stickler. To quote you, “Sheesh.”
Comment by Paul — 9/30/2006 @ 6:28 am