| Round | Result | Board | Color | Opponent | |||
|---|---|---|---|---|---|---|---|
| Name | School | Rank | Score | ||||
| 1 | 0.0 | 257 | Black | Adriana Islas | Morningside | 38th | 3.0 |
| 2 | 0.0 | 260 | White | Lance Dixon-Remington | Bill Brown | 47th | 3.0 |
| 3 | 1.0 | 271 | Black | Ashley Eardley | Garden Ridge | 139th | 1.0 |
| 4 | 1.0 | 238 | White | Talan Fuller | Bill Brown | 135th | 1.0 |
| 5 | 1.0 | 236 | White | Marshall Lumpkin | Hoffman Lane | 101st | 2.0 |
Detailed breakdown of how Joseph'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 Joseph Arthur has played, then discards one of them depending on how Joseph Arthur is doing.
Joseph'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 | Adriana Islas | 3.0 | Counted |
| 2 | Lance Dixon-Remington | 3.0 | Counted |
| 3 | Ashley Eardley | 1.0 | Discarded |
| 4 | Talan Fuller | 1.0 | Counted |
| 5 | Marshall Lumpkin | 2.0 | Counted |
| Modified Mean | 9.0 | ||
The Solkoff is the combined score of every opponent Joseph Arthur has played, with nothing discarded. A higher Solkoff means Joseph Arthur faced tougher opposition.
| Round | Opponent | Opponent's Score |
|---|---|---|
| 1 | Adriana Islas | 3.0 |
| 2 | Lance Dixon-Remington | 3.0 |
| 3 | Ashley Eardley | 1.0 |
| 4 | Talan Fuller | 1.0 |
| 5 | Marshall Lumpkin | 2.0 |
| Solkoff | 10.0 | |
The Cumulative tiebreak adds together Joseph'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 | 1.0 | 2.0 |
| 5 | 1.0 | 3.0 |
| Cumulative | 6.0 | |
The Opponent's Cumulative adds together the Cumulative tiebreak of every opponent Joseph Arthur has played.
| Round | Opponent | Opponent's Cumulative |
|---|---|---|
| 1 | Adriana Islas | 10.5 |
| 2 | Lance Dixon-Remington | 8.0 |
| 3 | Ashley Eardley | 2.0 |
| 4 | Talan Fuller | 4.0 |
| 5 | Marshall Lumpkin | 8.0 |
| Opponent's Cumulative | 32.5 | |