Pieper HS Tournament This tournament completed October 22nd, 2022.

Detailed breakdown of how Joseph'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 [12.5]

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

Joseph's score (4.0 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	Ames Brogdon	3.0	Counted
2	Daniel Reahm	2.5	Counted
3	Paxton Skinner	4.0	Counted
4	Simeon Skolaut	2.0	Discarded
5	Joaquin Gonzales	3.0	Counted
Modified Mean		12.5

S - Solkoff [14.5]

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

Round	Opponent	Opponent's Score
1	Ames Brogdon	3.0
2	Daniel Reahm	2.5
3	Paxton Skinner	4.0
4	Simeon Skolaut	2.0
5	Joaquin Gonzales	3.0
Solkoff		14.5

C - Cumulative [12.0]

The Cumulative tiebreak adds together Joseph'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	1.0	1.0
2	1.0	2.0
3	0.0	2.0
4	1.0	3.0
5	1.0	4.0
Cumulative		12.0

O - Opponent's Cumulative [51.0]

The Opponent's Cumulative adds together the Cumulative tiebreak of every opponent Joseph Tolico has played.

Round	Opponent	Opponent's Cumulative
1	Ames Brogdon	8.0
2	Daniel Reahm	9.0
3	Paxton Skinner	14.0
4	Simeon Skolaut	8.0
5	Joaquin Gonzales	12.0
Opponent's Cumulative		51.0