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

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 [10.0]

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 (2.0 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 Butler	4.5	Discarded
2	Layla Hernandez	3.5	Counted
3	Dylann Shurgalla	1.5	Counted
4	Caleb Parra	2.0	Counted
5	Jack Wagner	3.0	Counted
Modified Mean		10.0

S - Solkoff [14.5]

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	Daniel Butler	4.5
2	Layla Hernandez	3.5
3	Dylann Shurgalla	1.5
4	Caleb Parra	2.0
5	Jack Wagner	3.0
Solkoff		14.5

C - Cumulative [6.0]

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	0.5	0.5
2	0.0	0.5
3	0.5	1.0
4	1.0	2.0
5	0.0	2.0
Cumulative		6.0

O - Opponent's Cumulative [41.0]

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

Round	Opponent	Opponent's Cumulative
1	Daniel Butler	12.5
2	Layla Hernandez	11.5
3	Dylann Shurgalla	4.0
4	Caleb Parra	4.0
5	Jack Wagner	9.0
Opponent's Cumulative		41.0