Detailed breakdown of how Carroll'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 [12.5]

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

Carroll's score (2.5 of 5.0 possible) is exactly 50% of the possible points, so every opponent score is counted.

Round	Opponent	Opponent's Score	Counted?
1	Auria Trowbridge	1.0	Counted
2	Luis Miranda	4.0	Counted
3	Iris Bradbury	3.5	Counted
4	RHEGAN HAY	1.0	Counted
5	Tony Tian	3.0	Counted
Modified Mean		12.5

S - Solkoff [12.5]

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

Round	Opponent	Opponent's Score
1	Auria Trowbridge	1.0
2	Luis Miranda	4.0
3	Iris Bradbury	3.5
4	RHEGAN HAY	1.0
5	Tony Tian	3.0
Solkoff		12.5

C - Cumulative [9.0]

The Cumulative tiebreak adds together Carroll'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	0.5	1.5
3	0.0	1.5
4	1.0	2.5
5	0.0	2.5
Cumulative		9.0

O - Opponent's Cumulative [28.0]

The Opponent's Cumulative adds together the Cumulative tiebreak of every opponent Carroll Montgomery has played.

Round	Opponent	Opponent's Cumulative
1	Auria Trowbridge	3.0
2	Luis Miranda	10.5
3	Iris Bradbury	11.0
4	RHEGAN HAY	5.0
5	Tony Tian	7.0
Opponent's Cumulative		36.5