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

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 [5.5]

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

Noah's score (1.0 of 5.0 possible) is less than 50% of the possible points, so the highest opponent score is discarded.

Round	Opponent	Opponent's Score	Counted?
1	Samuel Garcia	3.5	Discarded
2	Isaac J. Lopez	1.5	Counted
3	Abram Kirby	1.0	Counted
4	Alexander Schwartz	2.0	Counted
5	Aleena Womble	1.0	Counted
Modified Mean		5.5

S - Solkoff [9.0]

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

Round	Opponent	Opponent's Score
1	Samuel Garcia	3.5
2	Isaac J. Lopez	1.5
3	Abram Kirby	1.0
4	Alexander Schwartz	2.0
5	Aleena Womble	1.0
Solkoff		9.0

C - Cumulative [2.5]

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	0.0	0.0
2	0.5	0.5
3	0.0	0.5
4	0.0	0.5
5	0.5	1.0
Cumulative		2.5

O - Opponent's Cumulative [26.0]

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

Round	Opponent	Opponent's Cumulative
1	Samuel Garcia	11.0
2	Isaac J. Lopez	4.5
3	Abram Kirby	3.0
4	Alexander Schwartz	5.0
5	Aleena Womble	2.5
Opponent's Cumulative		26.0