NB Canyon Chess Tournament This tournament completed March 23rd, 2019.

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 [8.0]

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

Joshua's score (2.0 of 5.0 possible) is less than 50% of the possible points, so the highest opponent score is discarded.

Round	Opponent	Opponent's Score	Counted?
1	Brady Freeland	4.0	Discarded
2	Bentley Thomas	3.0	Counted
3	Oliver Furrh	2.0	Counted
4	Eli Jacobson	2.0	Counted
5	felix Ciotti	1.0	Counted
Modified Mean		8.0

S - Solkoff [12.0]

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

Round	Opponent	Opponent's Score
1	Brady Freeland	4.0
2	Bentley Thomas	3.0
3	Oliver Furrh	2.0
4	Eli Jacobson	2.0
5	felix Ciotti	1.0
Solkoff		12.0

C - Cumulative [3.5]

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	0.0	0.0
2	0.0	0.0
3	0.5	0.5
4	0.5	1.0
5	1.0	2.0
Cumulative		3.5

O - Opponent's Cumulative [31.5]

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

Round	Opponent	Opponent's Cumulative
1	Brady Freeland	13.0
2	Bentley Thomas	10.0
3	Oliver Furrh	5.5
4	Eli Jacobson	3.5
5	felix Ciotti	2.0
Opponent's Cumulative		34.0