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 [6.0]

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

Nathan's score (1.5 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	Declan Connor	3.0	Counted
2	Rebecca Chapa	2.0	Counted
3	Sebastian Estrada	3.5	Discarded
4	Skylar Conaghan	1.0	Counted
5	Austin Arispe	0.0	Counted
Modified Mean		6.0

S - Solkoff [9.5]

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

Round	Opponent	Opponent's Score
1	Declan Connor	3.0
2	Rebecca Chapa	2.0
3	Sebastian Estrada	3.5
4	Skylar Conaghan	1.0
5	Austin Arispe	0.0
Solkoff		9.5

C - Cumulative [2.0]

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	0.0	0.0
2	0.0	0.0
3	0.0	0.0
4	0.5	0.5
5	1.0	1.5
Cumulative		2.0

O - Opponent's Cumulative [25.0]

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

Round	Opponent	Opponent's Cumulative
1	Declan Connor	9.0
2	Rebecca Chapa	5.0
3	Sebastian Estrada	8.0
4	Skylar Conaghan	3.0
5	Austin Arispe	0.0
Opponent's Cumulative		25.0