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

Detailed breakdown of how Christian '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 [10.5]

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

Christian '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	Alayna Esparza	1.5	Discarded
2	Jameson Rutland	2.0	Counted
3	Samuel Adams	2.0	Counted
4	Emerson Hernandez	4.0	Counted
5	Chiara Elizondo	2.5	Counted
Modified Mean		10.5

S - Solkoff [12.0]

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

Round	Opponent	Opponent's Score
1	Alayna Esparza	1.5
2	Jameson Rutland	2.0
3	Samuel Adams	2.0
4	Emerson Hernandez	4.0
5	Chiara Elizondo	2.5
Solkoff		12.0

C - Cumulative [10.5]

The Cumulative tiebreak adds together Christian '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	0.5	1.5
3	0.5	2.0
4	0.5	2.5
5	1.0	3.5
Cumulative		10.5

O - Opponent's Cumulative [40.0]

The Opponent's Cumulative adds together the Cumulative tiebreak of every opponent Christian Williams has played.

Round	Opponent	Opponent's Cumulative
1	Alayna Esparza	5.0
2	Jameson Rutland	7.5
3	Samuel Adams	8.5
4	Emerson Hernandez	11.5
5	Chiara Elizondo	7.5
Opponent's Cumulative		40.0