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

Detailed breakdown of how Zachary'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 [13.0]

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

Zachary'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	Noel Vasquez	1.0	Discarded
2	Archer Garate	2.0	Counted
3	Massimo Meneses	5.0	Counted
4	Keshav Singh	3.5	Counted
5	Ryan Stuck	2.5	Counted
Modified Mean		13.0

S - Solkoff [14.0]

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

Round	Opponent	Opponent's Score
1	Noel Vasquez	1.0
2	Archer Garate	2.0
3	Massimo Meneses	5.0
4	Keshav Singh	3.5
5	Ryan Stuck	2.5
Solkoff		14.0

C - Cumulative [10.0]

The Cumulative tiebreak adds together Zachary'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	0.0	2.0
5	1.0	3.0
Cumulative		10.0

O - Opponent's Cumulative [46.5]

The Opponent's Cumulative adds together the Cumulative tiebreak of every opponent Zachary Ellis has played.

Round	Opponent	Opponent's Cumulative
1	Noel Vasquez	4.0
2	Archer Garate	8.0
3	Massimo Meneses	15.0
4	Keshav Singh	11.5
5	Ryan Stuck	8.0
Opponent's Cumulative		46.5