Pieper HS Tournament This tournament completed October 25th, 2025.

Detailed breakdown of how Nathaniel '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 [15.5]

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

Nathaniel '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	Kohen Greene	2.0	Discarded
2	Mauricio Vargas Juarez	2.5	Counted
3	Nicholas Baer	2.5	Counted
4	Leonardo Vega	3.5	Counted
5	Lilly Moore	2.0	Counted
Modified Mean		10.5

S - Solkoff [15.5]

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

Round	Opponent	Opponent's Score
1	Kohen Greene	2.0
2	Mauricio Vargas Juarez	2.5
3	Nicholas Baer	2.5
4	Leonardo Vega	3.5
5	Lilly Moore	2.0
Solkoff		12.5

C - Cumulative [11.5]

The Cumulative tiebreak adds together Nathaniel '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	0.5	1.5
4	0.5	2.0
5	1.0	3.0
Cumulative		8.5

O - Opponent's Cumulative [38.0]

The Opponent's Cumulative adds together the Cumulative tiebreak of every opponent Nathaniel Ward has played.

Round	Opponent	Opponent's Cumulative
1	Kohen Greene	8.0
2	Mauricio Vargas Juarez	12.0
3	Nicholas Baer	10.0
4	Leonardo Vega	13.5
5	Lilly Moore	7.0
Opponent's Cumulative		50.5