| Round | Result | Board | Color | Opponent | |||
|---|---|---|---|---|---|---|---|
| Name | School | Rank | Score | ||||
| 1 | 0.0 | 106 | Black | Melanie Terns | Indian Springs | 1st | 5.0 |
| 2 | 0.5 | 124 | White | Duke Adams | Oak Creek | 40th | 2.0 |
| 3 | 1.0 | 121 | Black | Emily Guenthner | Goodwin-Frazier | 46th | 1.5 |
| 4 | 0.5 | 111 | White | Gabriella Guarriello | Indian Springs | 18th | 3.0 |
| 5 | 0.5 | 110 | Black | Declan Mathews | Specht | 21st | 2.5 |
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 Garbrecht has played, then discards one of them depending on how Luke Garbrecht is doing.
Luke'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 | Melanie Terns | 5.0 | Counted |
| 2 | Duke Adams | 2.0 | Counted |
| 3 | Emily Guenthner | 1.5 | Counted |
| 4 | Gabriella Guarriello | 3.0 | Counted |
| 5 | Declan Mathews | 2.5 | Counted |
| Modified Mean | 14.0 | ||
The Solkoff is the combined score of every opponent Luke Garbrecht has played, with nothing discarded. A higher Solkoff means Luke Garbrecht faced tougher opposition.
| Round | Opponent | Opponent's Score |
|---|---|---|
| 1 | Melanie Terns | 5.0 |
| 2 | Duke Adams | 2.0 |
| 3 | Emily Guenthner | 1.5 |
| 4 | Gabriella Guarriello | 3.0 |
| 5 | Declan Mathews | 2.5 |
| Solkoff | 14.0 | |
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 | 0.5 | 0.5 |
| 3 | 1.0 | 1.5 |
| 4 | 0.5 | 2.0 |
| 5 | 0.5 | 2.5 |
| Cumulative | 6.5 | |
The Opponent's Cumulative adds together the Cumulative tiebreak of every opponent Luke Garbrecht has played.
| Round | Opponent | Opponent's Cumulative |
|---|---|---|
| 1 | Melanie Terns | 15.0 |
| 2 | Duke Adams | 5.5 |
| 3 | Emily Guenthner | 3.5 |
| 4 | Gabriella Guarriello | 7.0 |
| 5 | Declan Mathews | 8.5 |
| Opponent's Cumulative | 39.5 | |