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

Detailed breakdown of how Bryan'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 [11.0]

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

Bryan'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	Isabella Alvarado	0.5	Discarded
2	Kassie Olney	1.0	Counted
3	Eric Alvarado	3.5	Counted
4	Daniel Butler	4.5	Counted
5	Heidi Huberland	2.0	Counted
Modified Mean		11.0

S - Solkoff [11.5]

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

Round	Opponent	Opponent's Score
1	Isabella Alvarado	0.5
2	Kassie Olney	1.0
3	Eric Alvarado	3.5
4	Daniel Butler	4.5
5	Heidi Huberland	2.0
Solkoff		11.5

C - Cumulative [11.5]

The Cumulative tiebreak adds together Bryan'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	0.5	2.5
4	0.0	2.5
5	1.0	3.5
Cumulative		11.5

O - Opponent's Cumulative [40.0]

The Opponent's Cumulative adds together the Cumulative tiebreak of every opponent Bryan Carbajal has played.

Round	Opponent	Opponent's Cumulative
1	Isabella Alvarado	2.0
2	Kassie Olney	4.0
3	Eric Alvarado	12.5
4	Daniel Butler	12.5
5	Heidi Huberland	9.0
Opponent's Cumulative		40.0