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

Detailed breakdown of how Michael'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 [12.0]

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

Michael'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	David Grazulis	3.0	Counted
2	Blake Bess	4.0	Counted
3	Pablo Guerrero	3.0	Counted
4	Kiefer Sánchez	2.0	Discarded
5	Charlize Perkins	2.0	Counted
Modified Mean		12.0

S - Solkoff [14.0]

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

Round	Opponent	Opponent's Score
1	David Grazulis	3.0
2	Blake Bess	4.0
3	Pablo Guerrero	3.0
4	Kiefer Sánchez	2.0
5	Charlize Perkins	2.0
Solkoff		14.0

C - Cumulative [9.5]

The Cumulative tiebreak adds together Michael'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	0.0	1.0
3	0.5	1.5
4	1.0	2.5
5	1.0	3.5
Cumulative		9.5

O - Opponent's Cumulative [40.0]

The Opponent's Cumulative adds together the Cumulative tiebreak of every opponent Michael Shanahan has played.

Round	Opponent	Opponent's Cumulative
1	David Grazulis	6.0
2	Blake Bess	12.0
3	Pablo Guerrero	8.0
4	Kiefer Sánchez	7.0
5	Charlize Perkins	7.0
Opponent's Cumulative		40.0