Detailed breakdown of how Alan'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 [8.5]

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

Alan's score (2.5 of 4.0 possible) is more than 50% of the possible points, so the lowest opponent score is discarded.

Round	Opponent	Opponent's Score	Counted?
1	Julie Chu	3.0	Counted
2	Ryan Alvarado	1.5	Discarded
3	Luke Schroeder	4.0	Counted
4	Xavier Williams	1.5	Counted
Modified Mean		8.5

S - Solkoff [10.0]

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

Round	Opponent	Opponent's Score
1	Julie Chu	3.0
2	Ryan Alvarado	1.5
3	Luke Schroeder	4.0
4	Xavier Williams	1.5
Solkoff		10.0

C - Cumulative [7.5]

The Cumulative tiebreak adds together Alan'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	0.5	2.5
Cumulative		7.5

O - Opponent's Cumulative [22.5]

The Opponent's Cumulative adds together the Cumulative tiebreak of every opponent Alan Ibarra has played.

Round	Opponent	Opponent's Cumulative
1	Julie Chu	6.0
2	Ryan Alvarado	4.0
3	Luke Schroeder	10.0
4	Xavier Williams	2.5
Opponent's Cumulative		22.5