Pieper HS Tournament This tournament completed November 13th, 2021.

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 [11.5]

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 (4.5 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	Luke Smith	2.0	Counted
2	Dean Jewett	1.0	Discarded
3	Olivia Johnson	2.5	Counted
4	Bryan Carbajal	3.5	Counted
5	Cade Covington	3.5	Counted
Modified Mean		11.5

S - Solkoff [12.5]

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	Luke Smith	2.0
2	Dean Jewett	1.0
3	Olivia Johnson	2.5
4	Bryan Carbajal	3.5
5	Cade Covington	3.5
Solkoff		12.5

C - Cumulative [12.5]

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	0.5	0.5
2	1.0	1.5
3	1.0	2.5
4	1.0	3.5
5	1.0	4.5
Cumulative		12.5

O - Opponent's Cumulative [37.0]

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

Round	Opponent	Opponent's Cumulative
1	Luke Smith	6.0
2	Dean Jewett	1.0
3	Olivia Johnson	6.5
4	Bryan Carbajal	11.5
5	Cade Covington	12.0
Opponent's Cumulative		37.0