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

Detailed breakdown of how Nathan '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 [12.0]

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

Nathan '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	Abram Kirby	3.0	Counted
2	Carson Uptain	2.0	Discarded
3	Jagger Kotowski	4.0	Counted
4	Simeon Skolaut	3.0	Counted
5	Alexander Schwartz	2.0	Counted
Modified Mean		12.0

S - Solkoff [14.0]

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

Round	Opponent	Opponent's Score
1	Abram Kirby	3.0
2	Carson Uptain	2.0
3	Jagger Kotowski	4.0
4	Simeon Skolaut	3.0
5	Alexander Schwartz	2.0
Solkoff		14.0

C - Cumulative [10.0]

The Cumulative tiebreak adds together Nathan '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	1.0	2.0
3	0.0	2.0
4	0.0	2.0
5	1.0	3.0
Cumulative		10.0

O - Opponent's Cumulative [45.0]

The Opponent's Cumulative adds together the Cumulative tiebreak of every opponent Nathan Osborne has played.

Round	Opponent	Opponent's Cumulative
1	Abram Kirby	8.0
2	Carson Uptain	7.0
3	Jagger Kotowski	14.0
4	Simeon Skolaut	9.0
5	Alexander Schwartz	7.0
Opponent's Cumulative		45.0