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

Detailed breakdown of how Noah'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 Noah Butler has played, then discards one of them depending on how Noah Butler is doing.

Noah's score (2.5 of 5.0 possible) is exactly 50% of the possible points, so every opponent score is counted.

Round	Opponent	Opponent's Score	Counted?
1	Eden Macpherson	1.0	Counted
2	Lukas Gillette	2.0	Counted
3	Emma Macpherson	2.0	Counted
4	Clayton Lane	1.5	Counted
5	Allen Stidham	4.0	Counted
Modified Mean		10.5

S - Solkoff [10.5]

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

Round	Opponent	Opponent's Score
1	Eden Macpherson	1.0
2	Lukas Gillette	2.0
3	Emma Macpherson	2.0
4	Clayton Lane	1.5
5	Allen Stidham	4.0
Solkoff		10.5

C - Cumulative [9.0]

The Cumulative tiebreak adds together Noah'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	0.0	1.0
3	1.0	2.0
4	0.5	2.5
5	0.0	2.5
Cumulative		9.0

O - Opponent's Cumulative [33.0]

The Opponent's Cumulative adds together the Cumulative tiebreak of every opponent Noah Butler has played.

Round	Opponent	Opponent's Cumulative
1	Eden Macpherson	3.0
2	Lukas Gillette	9.0
3	Emma Macpherson	6.0
4	Clayton Lane	4.0
5	Allen Stidham	11.0
Opponent's Cumulative		33.0