| Round | Result | Board | Color | Opponent | |||
|---|---|---|---|---|---|---|---|
| Name | School | Rank | Score | ||||
| 1 | 0.0 | 271 | Black | Hunter Pavlik | Johnson Ranch | 33rd | 3.5 |
| 2 | 1.0 | 253 | White | Dafney Creson | Garden Ridge | 142nd | 1.0 |
| 3 | 0.0 | 237 | Black | Alexander Engrav | Johnson Ranch | 64th | 2.5 |
| 4 | 1.0 | 248 | White | Asa Reddell | Goodwin-Frazier | 97th | 2.0 |
| 5 | 0.0 | 243 | Black | Gabriel Garcia | Goodwin-Frazier | 57th | 3.0 |
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 Franz has played, then discards one of them depending on how Luke Franz is doing.
Luke'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 | Hunter Pavlik | 3.5 | Discarded |
| 2 | Dafney Creson | 1.0 | Counted |
| 3 | Alexander Engrav | 2.5 | Counted |
| 4 | Asa Reddell | 2.0 | Counted |
| 5 | Gabriel Garcia | 3.0 | Counted |
| Modified Mean | 8.5 | ||
The Solkoff is the combined score of every opponent Luke Franz has played, with nothing discarded. A higher Solkoff means Luke Franz faced tougher opposition.
| Round | Opponent | Opponent's Score |
|---|---|---|
| 1 | Hunter Pavlik | 3.5 |
| 2 | Dafney Creson | 1.0 |
| 3 | Alexander Engrav | 2.5 |
| 4 | Asa Reddell | 2.0 |
| 5 | Gabriel Garcia | 3.0 |
| Solkoff | 12.0 | |
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 | 1.0 | 1.0 |
| 3 | 0.0 | 1.0 |
| 4 | 1.0 | 2.0 |
| 5 | 0.0 | 2.0 |
| Cumulative | 6.0 | |
The Opponent's Cumulative adds together the Cumulative tiebreak of every opponent Luke Franz has played.
| Round | Opponent | Opponent's Cumulative |
|---|---|---|
| 1 | Hunter Pavlik | 10.0 |
| 2 | Dafney Creson | 1.0 |
| 3 | Alexander Engrav | 9.0 |
| 4 | Asa Reddell | 6.0 |
| 5 | Gabriel Garcia | 7.0 |
| Opponent's Cumulative | 33.0 | |