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

Detailed breakdown of how Samuel'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 Samuel Butler has played, then discards one of them depending on how Samuel Butler is doing.

Samuel'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	Daniel Reahm	3.5	Counted
2	Sanvi Reddy SingiReddy	2.0	Discarded
3	Henry Agnese	3.0	Counted
4	Clayton Williams	3.0	Counted
5	Gunner Wade	3.0	Counted
Modified Mean		12.5

S - Solkoff [14.5]

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

Round	Opponent	Opponent's Score
1	Daniel Reahm	3.5
2	Sanvi Reddy SingiReddy	2.0
3	Henry Agnese	3.0
4	Clayton Williams	3.0
5	Gunner Wade	3.0
Solkoff		14.5

C - Cumulative [9.5]

The Cumulative tiebreak adds together Samuel'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	0.5	0.5
2	1.0	1.5
3	0.5	2.0
4	0.5	2.5
5	0.5	3.0
Cumulative		9.5

O - Opponent's Cumulative [45.0]

The Opponent's Cumulative adds together the Cumulative tiebreak of every opponent Samuel Butler has played.

Round	Opponent	Opponent's Cumulative
1	Daniel Reahm	11.5
2	Sanvi Reddy SingiReddy	4.5
3	Henry Agnese	10.5
4	Clayton Williams	9.0
5	Gunner Wade	9.5
Opponent's Cumulative		45.0