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

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 [11.5]

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 (3.0 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	Hannah Harrell	2.0	Discarded
2	Isabella Joers	3.5	Counted
3	Eli Ritchie	2.0	Counted
4	Heidi Huberland	2.0	Counted
5	Colin Cabrera	4.0	Counted
Modified Mean		11.5

S - Solkoff [13.5]

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	Hannah Harrell	2.0
2	Isabella Joers	3.5
3	Eli Ritchie	2.0
4	Heidi Huberland	2.0
5	Colin Cabrera	4.0
Solkoff		13.5

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	1.0	3.0
5	0.0	3.0
Cumulative		10.5

O - Opponent's Cumulative [44.5]

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

Round	Opponent	Opponent's Cumulative
1	Hannah Harrell	4.0
2	Isabella Joers	11.5
3	Eli Ritchie	8.0
4	Heidi Huberland	9.0
5	Colin Cabrera	12.0
Opponent's Cumulative		44.5