Pieper HS Tournament This tournament completed November 13th, 2021.

Detailed breakdown of how David's M-S-C-O tiebreaks were calculated. Tiebreaks are used to order players who finish with the same score, in the order M, then S, then C, then O. Byes have no opponent, so they are listed but not counted in the opponent-based tiebreaks.

M - Modified Mean [7.5]

The Modified Mean adds up the scores of every opponent David Grazulis has played, then discards one of them depending on how David Grazulis is doing.

David's score (3.0 of 5.0 possible) is more than 50% of the possible points, so the lowest opponent score is discarded.

Round	Opponent	Opponent's Score	Counted?
1	Michael Shanahan	3.5	Counted
2	Chase Kraemer	2.0	Counted
3	Jayce Garcia	1.0	Counted
4	Carmelo Ward	1.0	Counted
5	Isabella Alvarado	0.5	Discarded
Modified Mean		7.5

S - Solkoff [8.0]

The Solkoff is the combined score of every opponent David Grazulis has played, with nothing discarded. A higher Solkoff means David Grazulis faced tougher opposition.

Round	Opponent	Opponent's Score
1	Michael Shanahan	3.5
2	Chase Kraemer	2.0
3	Jayce Garcia	1.0
4	Carmelo Ward	1.0
5	Isabella Alvarado	0.5
Solkoff		8.0

C - Cumulative [6.0]

The Cumulative tiebreak adds together David's running score after each round. Early wins count more, because they carry forward into every later round's total.

Round	Result	Score After Round
1	0.0	0.0
2	0.0	0.0
3	1.0	1.0
4	1.0	2.0
5	1.0	3.0
Cumulative		6.0

O - Opponent's Cumulative [22.0]

The Opponent's Cumulative adds together the Cumulative tiebreak of every opponent David Grazulis has played.

Round	Opponent	Opponent's Cumulative
1	Michael Shanahan	9.5
2	Chase Kraemer	5.0
3	Jayce Garcia	1.5
4	Carmelo Ward	4.0
5	Isabella Alvarado	2.0
Opponent's Cumulative		22.0