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

Detailed breakdown of how Sophia '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 [9.0]

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

Sophia '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	Leo DuFrene	2.0	Counted
2	Allie Agnese	3.5	Counted
3	Theodore Martinez	1.5	Discarded
4	Cara Barger	1.5	Counted
5	Cele Roberts	2.0	Counted
Modified Mean		9.0

S - Solkoff [10.5]

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

Round	Opponent	Opponent's Score
1	Leo DuFrene	2.0
2	Allie Agnese	3.5
3	Theodore Martinez	1.5
4	Cara Barger	1.5
5	Cele Roberts	2.0
Solkoff		10.5

C - Cumulative [7.0]

The Cumulative tiebreak adds together Sophia '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	0.0	0.5
3	0.5	1.0
4	1.0	2.0
5	1.0	3.0
Cumulative		7.0

O - Opponent's Cumulative [31.0]

The Opponent's Cumulative adds together the Cumulative tiebreak of every opponent Sophia Bixler has played.

Round	Opponent	Opponent's Cumulative
1	Leo DuFrene	5.0
2	Allie Agnese	10.5
3	Theodore Martinez	4.5
4	Cara Barger	4.5
5	Cele Roberts	6.5
Opponent's Cumulative		31.0