Detailed breakdown of how Luke'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 [4.5]

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

Luke's score (1.5 of 3.0 possible) is exactly 50% of the possible points, so every opponent score is counted.

Round	Opponent	Opponent's Score	Counted?
1	Katie Duong	1.0	Counted
2	Jeff Schroeder	2.0	Counted
3	Rajel Joshi	1.5	Counted
Modified Mean		4.5

S - Solkoff [4.5]

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

Round	Opponent	Opponent's Score
1	Katie Duong	1.0
2	Jeff Schroeder	2.0
3	Rajel Joshi	1.5
Solkoff		4.5

C - Cumulative [3.5]

The Cumulative tiebreak adds together Luke'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	0.5	1.5
Cumulative		3.5

O - Opponent's Cumulative [8.5]

The Opponent's Cumulative adds together the Cumulative tiebreak of every opponent Luke Schroeder has played.

Round	Opponent	Opponent's Cumulative
1	Katie Duong	1.0
2	Jeff Schroeder	5.0
3	Rajel Joshi	2.5
Opponent's Cumulative		8.5