Detailed breakdown of how Joshua'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 Joshua Butler has played, then discards one of them depending on how Joshua Butler is doing.

Joshua'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	Peyton Braun	3.0	Counted
2	Abigail Martin	1.0	Discarded
3	Dye Michael	5.0	Counted
4	Daniel Marie	2.0	Counted
5	Blake Gomien	3.0	Counted
Modified Mean		13.0

S - Solkoff [14.0]

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

Round	Opponent	Opponent's Score
1	Peyton Braun	3.0
2	Abigail Martin	1.0
3	Dye Michael	5.0
4	Daniel Marie	2.0
5	Blake Gomien	3.0
Solkoff		14.0

C - Cumulative [12.0]

The Cumulative tiebreak adds together Joshua'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	0.0	2.0
4	1.0	3.0
5	1.0	4.0
Cumulative		12.0

O - Opponent's Cumulative [39.0]

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

Round	Opponent	Opponent's Cumulative
1	Peyton Braun	7.0
2	Abigail Martin	5.0
3	Dye Michael	15.0
4	Daniel Marie	7.0
5	Blake Gomien	9.0
Opponent's Cumulative		43.0