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

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 [8.5]

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

Michael's score (1.5 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	Sara Herrera	3.0	Discarded
2	Ashley Miller	1.0	Counted
3	Schaeden Davis	3.0	Counted
4	Ryan Roberts	3.0	Counted
5	Ethan Philp	1.5	Counted
Modified Mean		8.5

S - Solkoff [11.5]

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

Round	Opponent	Opponent's Score
1	Sara Herrera	3.0
2	Ashley Miller	1.0
3	Schaeden Davis	3.0
4	Ryan Roberts	3.0
5	Ethan Philp	1.5
Solkoff		11.5

C - Cumulative [4.5]

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	0.0	0.0
2	1.0	1.0
3	0.0	1.0
4	0.0	1.0
5	0.5	1.5
Cumulative		4.5

O - Opponent's Cumulative [30.5]

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

Round	Opponent	Opponent's Cumulative
1	Sara Herrera	9.0
2	Ashley Miller	1.0
3	Schaeden Davis	9.0
4	Ryan Roberts	8.0
5	Ethan Philp	4.5
Opponent's Cumulative		31.5