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

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 [13.0]

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 (4.0 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	Liliana Macias	1.5	Discarded
2	McLaren Kian	2.0	Counted
3	William Delp	2.5	Counted
4	Jack Taylor	3.5	Counted
5	James Williams	5.0	Counted
Modified Mean		13.0

S - Solkoff [14.5]

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	Liliana Macias	1.5
2	McLaren Kian	2.0
3	William Delp	2.5
4	Jack Taylor	3.5
5	James Williams	5.0
Solkoff		14.5

C - Cumulative [14.0]

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	1.0	2.0
3	1.0	3.0
4	1.0	4.0
5	0.0	4.0
Cumulative		14.0

O - Opponent's Cumulative [43.5]

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

Round	Opponent	Opponent's Cumulative
1	Liliana Macias	5.0
2	McLaren Kian	7.5
3	William Delp	10.0
4	Jack Taylor	11.0
5	James Williams	15.0
Opponent's Cumulative		48.5