Modified Median

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Modified Median Tie Break System

The Median tie break system is the same as the Solkoff, except that the highest and lowest scores are dropped out. The Modified Median system is similar to the Median system, except:

• Players with exactly 50 percent score are handled as in the regular Median system
• Players with more than 50 percent score have only their lowest-scoring opponent's score discarded
• Players with less than 50 percent score have only their highest-scoring opponent's score discarded

This is done to eliminate the extreme scores. Scores of players tied with the same tournament score (1 point for a win, 1/2 point for a draw and no points for a loss) can be sorted by using the Solkoff system.

First make a list of the opponents adjusted scores for the tournament - unplayed games are counted as draws, whether they are scored as wins or losses for tournament standings. An opponents unplayed game against other opponents are scored as a loss.

Then total the opponents adjusted scores to determine the Modified Median tie-break. The highest score is the tie-break winner. Note that tie-break systems only sort the players rank within the tournament score group and cannot catapult a player with a lower tournament score over a player with a higher score.

Examples

In the following calculations it is assumed that this is the result of a 7 round tornament and each Players top of bottom scoring opponent has been removed. This is to remove the luck of an early round pairing against a very strong opponent, or a pairing against an opponent so weak that the win is a sure thing.

Example 1: Player A & B both score 3 wins and 2 losses. Player A played games with opponetns who scored 1, 3, 2, 2,& 2. Player B played opponetns who scored 1, 2, 2, 2 & 2. Player A woud have a Modified Median tie-break of 10 and Player B would have a Solkoff tie-break of 9.

Example 2: Both players have the same opponents scores, but Player A, won one game on forfeiture. When calculating that players score, a zero in scored for that round. So if a player was paired with opponents of 1,3,2,2,2 and his ;last round opponent left early and so the player was awarded a win on a forfeit, his tie-break would be calculated as 1+3+2+2+0=8.

Example 3: Both players have the same opponents scores and played all their games, but one Player A opponent won one game on forfeiture. When calculating that players score, a half point in scored for the unplayed round of the opponent. So if a player was paired with opponents of 1,3,2,2,2 but his last round opponent was awarded a win on a forfeit, the opponets adjusted score would be calculated as 1.5, instead of 2 and Player A's Modified Median tie-break would be 1+3+2+2+1.5=9.5.