Pieper HS Tournament This tournament completed October 21st, 2023.

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 [10.5]

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

Ryan's score (3.0 of 5.0 possible) is more than 50% of the possible points, so the lowest opponent score is discarded.

Round	Opponent	Opponent's Score	Counted?
1	Rebecca Chapa	2.0	Counted
2	Luke Maurer	3.0	Counted
3	Luke Smith	2.5	Counted
4	cesar garcia	3.0	Counted
5	Hailey Harrell	1.5	Discarded
Modified Mean		10.5

S - Solkoff [12.0]

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

Round	Opponent	Opponent's Score
1	Rebecca Chapa	2.0
2	Luke Maurer	3.0
3	Luke Smith	2.5
4	cesar garcia	3.0
5	Hailey Harrell	1.5
Solkoff		12.0

C - Cumulative [9.5]

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	1.0	1.0
2	0.5	1.5
3	0.5	2.0
4	0.0	2.0
5	1.0	3.0
Cumulative		9.5

O - Opponent's Cumulative [36.0]

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

Round	Opponent	Opponent's Cumulative
1	Rebecca Chapa	5.0
2	Luke Maurer	10.5
3	Luke Smith	6.5
4	cesar garcia	10.0
5	Hailey Harrell	4.0
Opponent's Cumulative		36.0