Pieper HS Tournament This tournament completed October 21st, 2023.

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 [4.5]

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

Michael's score (1.0 of 5.0 possible) is less than 50% of the possible points, so the highest opponent score is discarded.

Round	Opponent	Opponent's Score	Counted?
1	Mauricio Vargas	1.0	Counted
2	Luke LoBrutto	1.0	Counted
3	Magnolia Terrell	2.0	Counted
4	Rafael Betzler	0.5	Counted
5	Liam Mitchell	2.5	Discarded
Modified Mean		4.5

S - Solkoff [7.0]

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

Round	Opponent	Opponent's Score
1	Mauricio Vargas	1.0
2	Luke LoBrutto	1.0
3	Magnolia Terrell	2.0
4	Rafael Betzler	0.5
5	Liam Mitchell	2.5
Solkoff		7.0

C - Cumulative [2.0]

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	0.0	0.0
2	0.0	0.0
3	0.0	0.0
4	1.0	1.0
5	0.0	1.0
Cumulative		2.0

O - Opponent's Cumulative [19.5]

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

Round	Opponent	Opponent's Cumulative
1	Mauricio Vargas	5.0
2	Luke LoBrutto	4.0
3	Magnolia Terrell	4.5
4	Rafael Betzler	0.5
5	Liam Mitchell	5.5
Opponent's Cumulative		19.5