Pieper HS Tournament This tournament completed November 13th, 2021.

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

Jasper'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	Galina Franz	2.0	Counted
2	Thomas Chick	5.0	Counted
3	Jacob Wall	2.5	Counted
4	Everett Shopoff	1.5	Counted
5	Joaquin Andres Gonzales	1.5	Counted
Modified Mean		12.5

S - Solkoff [12.5]

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

Round	Opponent	Opponent's Score
1	Galina Franz	2.0
2	Thomas Chick	5.0
3	Jacob Wall	2.5
4	Everett Shopoff	1.5
5	Joaquin Andres Gonzales	1.5
Solkoff		12.5

C - Cumulative [7.0]

The Cumulative tiebreak adds together Jasper'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	0.0	1.0
4	0.5	1.5
5	1.0	2.5
Cumulative		7.0

O - Opponent's Cumulative [35.5]

The Opponent's Cumulative adds together the Cumulative tiebreak of every opponent Jasper Barden has played.

Round	Opponent	Opponent's Cumulative
1	Galina Franz	4.0
2	Thomas Chick	15.0
3	Jacob Wall	7.5
4	Everett Shopoff	5.0
5	Joaquin Andres Gonzales	4.0
Opponent's Cumulative		35.5