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# Rapptz/tiebreaker.md

Created Dec 14, 2014
Median-Buchholz

## How Median-Buchholz tie breaker works.

Assumptions:

1. We are talking about 2 different players, P1 and P2.
2. They each played 6 rounds.
3. They each won 4 of them and lost two of them (i.e. they're tied).

After all 6 rounds, the opponents for P1 ended up with the following track record:

• 4-2
• 2-4
• 3-3
• 4-2
• 5-1
• 6-0

So in terms of "points" (i.e. wins) they have the following track record:

• 4
• 2
• 3
• 4
• 5
• 6

So what Median-Buchholz does is take the highest point (i.e. 6) and the lowest point (i.e. 2) and discards them. Leaving us with the following:

• 4
• 3
• 4
• 5

Then we add them up together. 4 + 3 + 4 + 5 which totals to 16. So our Median-Buchholz tie breaker score is 16.

Now let's use P2 as an example. The track record is the following:

• 5-1
• 4-2
• 2-4
• 6-0
• 4-2
• 5-1

Figuring this out is left as an exercise to the reader. Who do you think has a higher tie breaker score? P1 or P2? Who won? See above for a run down on how it works if you're stuck.