Pieper HS Tournament This tournament completed October 22nd, 2022.

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

Caleb'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	Daniel Reahm	2.5	Counted
2	Alexander Schwartz	2.0	Counted
3	Archer Torgerson	3.0	Discarded
4	Mason Cruz	1.0	Counted
5	Ethan Rakowitz	3.0	Counted
Modified Mean		8.5

S - Solkoff [11.5]

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

Round	Opponent	Opponent's Score
1	Daniel Reahm	2.5
2	Alexander Schwartz	2.0
3	Archer Torgerson	3.0
4	Mason Cruz	1.0
5	Ethan Rakowitz	3.0
Solkoff		11.5

C - Cumulative [6.0]

The Cumulative tiebreak adds together Caleb'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	1.0	1.0
3	0.0	1.0
4	1.0	2.0
5	0.0	2.0
Cumulative		6.0

O - Opponent's Cumulative [36.0]

The Opponent's Cumulative adds together the Cumulative tiebreak of every opponent Caleb Kaplan has played.

Round	Opponent	Opponent's Cumulative
1	Daniel Reahm	9.0
2	Alexander Schwartz	5.0
3	Archer Torgerson	9.0
4	Mason Cruz	5.0
5	Ethan Rakowitz	8.0
Opponent's Cumulative		36.0