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

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

Joel'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	Greysen Patton	4.0	Discarded
2	Kate Ward	3.5	Counted
3	Bye	—	Not counted
4	Emma Macpherson	2.0	Counted
5	Brenna Chase	1.0	Counted
Modified Mean		6.5

S - Solkoff [10.5]

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

Round	Opponent	Opponent's Score
1	Greysen Patton	4.0
2	Kate Ward	3.5
3	Bye — not counted	—
4	Emma Macpherson	2.0
5	Brenna Chase	1.0
Solkoff		10.5

C - Cumulative [4.0]

The Cumulative tiebreak adds together Joel'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	0.0	0.0
3	1.0 (bye)	1.0
4	0.0	1.0
5	1.0	2.0
Cumulative		4.0

O - Opponent's Cumulative [32.0]

The Opponent's Cumulative adds together the Cumulative tiebreak of every opponent Joel Nathan has played.

Round	Opponent	Opponent's Cumulative
1	Greysen Patton	13.0
2	Kate Ward	9.0
3	Bye — not counted	—
4	Emma Macpherson	6.0
5	Brenna Chase	4.0
Opponent's Cumulative		32.0