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

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

Ryan'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	Mason Bowlin	2.0	Counted
2	Jacob Diaz	3.0	Counted
3	Benjamin Kelemen	3.0	Counted
4	Thomas Stearns	1.5	Counted
5	Zachary Ellis	3.0	Counted
Modified Mean		12.5

S - Solkoff [12.5]

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

Round	Opponent	Opponent's Score
1	Mason Bowlin	2.0
2	Jacob Diaz	3.0
3	Benjamin Kelemen	3.0
4	Thomas Stearns	1.5
5	Zachary Ellis	3.0
Solkoff		12.5

C - Cumulative [8.0]

The Cumulative tiebreak adds together Ryan'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	1.0	2.0
4	0.5	2.5
5	0.0	2.5
Cumulative		8.0

O - Opponent's Cumulative [37.0]

The Opponent's Cumulative adds together the Cumulative tiebreak of every opponent Ryan Stuck has played.

Round	Opponent	Opponent's Cumulative
1	Mason Bowlin	8.0
2	Jacob Diaz	6.0
3	Benjamin Kelemen	8.0
4	Thomas Stearns	5.0
5	Zachary Ellis	10.0
Opponent's Cumulative		37.0