| Round | Result | Board | Color | Opponent | |||
|---|---|---|---|---|---|---|---|
| Name | School | Rank | Score | ||||
| 1 | 0.0 | 238 | Black | Daniel Reahm | Oak Creek | 34th | 3.0 |
| 2 | 0.0 | 233 | White | Aria Botello | Specht | 82nd | 2.0 |
| 3 | 1.0 | 250 | Black | Madeline Albart | Farias-Spitzer Elementary | 96th | 2.0 |
| 4 | 0.0 | 239 | White | Isaac Cummins | Indian Springs | 56th | 3.0 |
| 5 | 0.5 | 247 | Black | Kyle Orgill | Garden Ridge | 101st | 1.5 |
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.
The Modified Mean adds up the scores of every opponent Luke Arriaga has played, then discards one of them depending on how Luke Arriaga is doing.
Luke 's score (1.5 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 Reahm | 3.0 | Discarded |
| 2 | Aria Botello | 2.0 | Counted |
| 3 | Madeline Albart | 2.0 | Counted |
| 4 | Isaac Cummins | 3.0 | Counted |
| 5 | Kyle Orgill | 1.5 | Counted |
| Modified Mean | 8.5 | ||
The Solkoff is the combined score of every opponent Luke Arriaga has played, with nothing discarded. A higher Solkoff means Luke Arriaga faced tougher opposition.
| Round | Opponent | Opponent's Score |
|---|---|---|
| 1 | Daniel Reahm | 3.0 |
| 2 | Aria Botello | 2.0 |
| 3 | Madeline Albart | 2.0 |
| 4 | Isaac Cummins | 3.0 |
| 5 | Kyle Orgill | 1.5 |
| Solkoff | 11.5 | |
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 | 0.0 | 0.0 |
| 2 | 0.0 | 0.0 |
| 3 | 1.0 | 1.0 |
| 4 | 0.0 | 1.0 |
| 5 | 0.5 | 1.5 |
| Cumulative | 3.5 | |
The Opponent's Cumulative adds together the Cumulative tiebreak of every opponent Luke Arriaga has played.
| Round | Opponent | Opponent's Cumulative |
|---|---|---|
| 1 | Daniel Reahm | 10.0 |
| 2 | Aria Botello | 9.0 |
| 3 | Madeline Albart | 3.0 |
| 4 | Isaac Cummins | 7.0 |
| 5 | Kyle Orgill | 3.5 |
| Opponent's Cumulative | 32.5 | |