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

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

Liam'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	Hayden Jimenez	2.5	Counted
2	Mason Keating	1.5	Counted
3	Zachary Bixler	3.5	Counted
4	Soren Shadden	2.0	Counted
5	Michael Ritz	1.0	Counted
Modified Mean		10.5

S - Solkoff [10.5]

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

Round	Opponent	Opponent's Score
1	Hayden Jimenez	2.5
2	Mason Keating	1.5
3	Zachary Bixler	3.5
4	Soren Shadden	2.0
5	Michael Ritz	1.0
Solkoff		10.5

C - Cumulative [5.5]

The Cumulative tiebreak adds together Liam'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	0.0	0.5
4	1.0	1.5
5	1.0	2.5
Cumulative		5.5

O - Opponent's Cumulative [30.5]

The Opponent's Cumulative adds together the Cumulative tiebreak of every opponent Liam Mitchell has played.

Round	Opponent	Opponent's Cumulative
1	Hayden Jimenez	8.5
2	Mason Keating	4.5
3	Zachary Bixler	10.5
4	Soren Shadden	5.0
5	Michael Ritz	2.0
Opponent's Cumulative		30.5