| Round | Result | Board | Color | Opponent | |||
|---|---|---|---|---|---|---|---|
| Name | School | Rank | Score | ||||
| 1 | 0.0 | 118 | Black | Caleb Patrick | Garden Ridge | 4th | 4.0 |
| 2 | 1.0 | 130 | White | Emma Diaz | Rebecca Creek | 56th | 1.5 |
| 3 | 0.5 | 116 | Black | Michael Shanahan | Timberwood Park | 36th | 2.0 |
| 4 | 1.0 | 116 | Black | Ethan Blanchard | Kinder Ranch | 53rd | 1.5 |
| 5 | 0.5 | 107 | White | Aarnav Penagaluru | Hoffman Lane | 16th | 3.0 |
Detailed breakdown of how Ryan'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 Ryan Roberts has played, then discards one of them depending on how Ryan Roberts is doing.
Ryan'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 | Caleb Patrick | 4.0 | Counted |
| 2 | Emma Diaz | 1.5 | Discarded |
| 3 | Michael Shanahan | 2.0 | Counted |
| 4 | Ethan Blanchard | 1.5 | Counted |
| 5 | Aarnav Penagaluru | 3.0 | Counted |
| Modified Mean | 10.5 | ||
The Solkoff is the combined score of every opponent Ryan Roberts has played, with nothing discarded. A higher Solkoff means Ryan Roberts faced tougher opposition.
| Round | Opponent | Opponent's Score |
|---|---|---|
| 1 | Caleb Patrick | 4.0 |
| 2 | Emma Diaz | 1.5 |
| 3 | Michael Shanahan | 2.0 |
| 4 | Ethan Blanchard | 1.5 |
| 5 | Aarnav Penagaluru | 3.0 |
| Solkoff | 12.0 | |
The Cumulative tiebreak adds together Ryan'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 | 0.5 | 1.5 |
| 4 | 1.0 | 2.5 |
| 5 | 0.5 | 3.0 |
| Cumulative | 8.0 | |
The Opponent's Cumulative adds together the Cumulative tiebreak of every opponent Ryan Roberts has played.
| Round | Opponent | Opponent's Cumulative |
|---|---|---|
| 1 | Caleb Patrick | 14.0 |
| 2 | Emma Diaz | 3.0 |
| 3 | Michael Shanahan | 6.5 |
| 4 | Ethan Blanchard | 5.5 |
| 5 | Aarnav Penagaluru | 10.5 |
| Opponent's Cumulative | 39.5 | |