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

Detailed breakdown of how Joshua'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 [11.5]

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

Joshua's score (3.0 of 5.0 possible) is more than 50% of the possible points, so the lowest opponent score is discarded.

Round	Opponent	Opponent's Score	Counted?
1	Sydney Scardella	3.0	Counted
2	Yamil Marrero	3.0	Counted
3	Adam Sugden	2.5	Counted
4	Cason Cavazos	3.0	Counted
5	Emily Willmann	2.0	Discarded
Modified Mean		11.5

S - Solkoff [13.5]

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

Round	Opponent	Opponent's Score
1	Sydney Scardella	3.0
2	Yamil Marrero	3.0
3	Adam Sugden	2.5
4	Cason Cavazos	3.0
5	Emily Willmann	2.0
Solkoff		13.5

C - Cumulative [8.5]

The Cumulative tiebreak adds together Joshua'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	0.5	1.0
3	1.0	2.0
4	0.0	2.0
5	1.0	3.0
Cumulative		8.5

O - Opponent's Cumulative [43.5]

The Opponent's Cumulative adds together the Cumulative tiebreak of every opponent Joshua Ataee has played.

Round	Opponent	Opponent's Cumulative
1	Sydney Scardella	8.5
2	Yamil Marrero	10.5
3	Adam Sugden	7.5
4	Cason Cavazos	11.0
5	Emily Willmann	6.0
Opponent's Cumulative		43.5