| Round | Result | Board | Color | Opponent | |||
|---|---|---|---|---|---|---|---|
| Name | School | Rank | Score | ||||
| 1 | 1.0 | 202 | Black | Corbin Cheddie | Startzville | 19th | 4.0 |
| 2 | 0.0 | 213 | White | Liam Huang | Indian Springs | 14th | 4.0 |
| 3 | 1.0 | 223 | Black | Hayes Redding | Mountain Valley Elementary | 91st | 2.0 |
| 4 | 0.0 | 209 | White | Carmelo Ward | Specht | 17th | 4.0 |
| 5 | 0.5 | 223 | Black | Lucas Alvarez | Oak Creek | 62nd | 2.5 |
Detailed breakdown of how Joshua'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 Joshua Williams has played, then discards one of them depending on how Joshua Williams is doing.
Joshua'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 | Corbin Cheddie | 4.0 | Counted |
| 2 | Liam Huang | 4.0 | Counted |
| 3 | Hayes Redding | 2.0 | Counted |
| 4 | Carmelo Ward | 4.0 | Counted |
| 5 | Lucas Alvarez | 2.5 | Counted |
| Modified Mean | 16.5 | ||
The Solkoff is the combined score of every opponent Joshua Williams has played, with nothing discarded. A higher Solkoff means Joshua Williams faced tougher opposition.
| Round | Opponent | Opponent's Score |
|---|---|---|
| 1 | Corbin Cheddie | 4.0 |
| 2 | Liam Huang | 4.0 |
| 3 | Hayes Redding | 2.0 |
| 4 | Carmelo Ward | 4.0 |
| 5 | Lucas Alvarez | 2.5 |
| Solkoff | 16.5 | |
The Cumulative tiebreak adds together Joshua'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 | 1.0 | 1.0 |
| 2 | 0.0 | 1.0 |
| 3 | 1.0 | 2.0 |
| 4 | 0.0 | 2.0 |
| 5 | 0.5 | 2.5 |
| Cumulative | 8.5 | |
The Opponent's Cumulative adds together the Cumulative tiebreak of every opponent Joshua Williams has played.
| Round | Opponent | Opponent's Cumulative |
|---|---|---|
| 1 | Corbin Cheddie | 10.0 |
| 2 | Liam Huang | 13.0 |
| 3 | Hayes Redding | 5.0 |
| 4 | Carmelo Ward | 12.0 |
| 5 | Lucas Alvarez | 8.5 |
| Opponent's Cumulative | 48.5 | |