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

Detailed breakdown of how Daniel'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 [9.0]

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

Daniel's score (2.0 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	Olivia Vendola	1.0	Counted
2	Roque Rodriguez	4.0	Discarded
3	Jonah Rayburn	3.0	Counted
4	Rebecca Chapa	2.0	Counted
5	David Grazulis	3.0	Counted
Modified Mean		9.0

S - Solkoff [13.0]

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

Round	Opponent	Opponent's Score
1	Olivia Vendola	1.0
2	Roque Rodriguez	4.0
3	Jonah Rayburn	3.0
4	Rebecca Chapa	2.0
5	David Grazulis	3.0
Solkoff		13.0

C - Cumulative [7.0]

The Cumulative tiebreak adds together Daniel'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	0.0	1.0
4	1.0	2.0
5	0.0	2.0
Cumulative		7.0

O - Opponent's Cumulative [35.0]

The Opponent's Cumulative adds together the Cumulative tiebreak of every opponent Daniel Butler has played.

Round	Opponent	Opponent's Cumulative
1	Olivia Vendola	3.0
2	Roque Rodriguez	13.0
3	Jonah Rayburn	9.0
4	Rebecca Chapa	5.0
5	David Grazulis	8.0
Opponent's Cumulative		38.0