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

Detailed breakdown of how Israel'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 [6.5]

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

Israel'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	Sterling Smith	4.0	Discarded
2	Addison Miller	0.0	Counted
3	Jacob Wall	3.0	Counted
4	Isaac J. Lopez	1.5	Counted
5	Jameson Rutland	2.0	Counted
Modified Mean		6.5

S - Solkoff [10.5]

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

Round	Opponent	Opponent's Score
1	Sterling Smith	4.0
2	Addison Miller	0.0
3	Jacob Wall	3.0
4	Isaac J. Lopez	1.5
5	Jameson Rutland	2.0
Solkoff		10.5

C - Cumulative [5.5]

The Cumulative tiebreak adds together Israel'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	0.5	1.5
5	0.5	2.0
Cumulative		5.5

O - Opponent's Cumulative [36.0]

The Opponent's Cumulative adds together the Cumulative tiebreak of every opponent Israel Valdez has played.

Round	Opponent	Opponent's Cumulative
1	Sterling Smith	14.0
2	Addison Miller	0.0
3	Jacob Wall	10.0
4	Isaac J. Lopez	4.5
5	Jameson Rutland	7.5
Opponent's Cumulative		36.0