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

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 [14.0]

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 (3.5 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	Ignacio Garcia	1.5	Discarded
2	Andrew Craythorne	2.0	Counted
3	Dakota Fisher	3.0	Counted
4	Austin Cook	4.0	Counted
5	John Shenouda	5.0	Counted
Modified Mean		14.0

S - Solkoff [15.5]

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	Ignacio Garcia	1.5
2	Andrew Craythorne	2.0
3	Dakota Fisher	3.0
4	Austin Cook	4.0
5	John Shenouda	5.0
Solkoff		15.5

C - Cumulative [13.0]

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	1.0	3.0
4	0.5	3.5
5	0.0	3.5
Cumulative		13.0

O - Opponent's Cumulative [48.0]

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

Round	Opponent	Opponent's Cumulative
1	Ignacio Garcia	3.5
2	Andrew Craythorne	5.0
3	Dakota Fisher	11.0
4	Austin Cook	13.5
5	John Shenouda	15.0
Opponent's Cumulative		48.0