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

Detailed breakdown of how Luke'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 [13.5]

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

Luke'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	cesar garcia	3.0	Counted
2	Tripp Monroe	2.0	Counted
3	Ryan Roberts	3.0	Counted
4	Sebastian Estrada	3.5	Counted
5	Kevin Chow	2.0	Counted
Modified Mean		13.5

S - Solkoff [13.5]

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

Round	Opponent	Opponent's Score
1	cesar garcia	3.0
2	Tripp Monroe	2.0
3	Ryan Roberts	3.0
4	Sebastian Estrada	3.5
5	Kevin Chow	2.0
Solkoff		13.5

C - Cumulative [6.5]

The Cumulative tiebreak adds together Luke'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	0.5	1.5
4	0.0	1.5
5	1.0	2.5
Cumulative		6.5

O - Opponent's Cumulative [39.5]

The Opponent's Cumulative adds together the Cumulative tiebreak of every opponent Luke Smith has played.

Round	Opponent	Opponent's Cumulative
1	cesar garcia	10.0
2	Tripp Monroe	5.0
3	Ryan Roberts	9.5
4	Sebastian Estrada	8.0
5	Kevin Chow	7.0
Opponent's Cumulative		39.5