Answer: SARAH
To determine this, look at who is higher ranked in each column of the preference schedule (and by how many voters).
# of |
Voters |
|||
Place |
130 | 120 | 100 | 150 |
| 1st | P | T | T | S |
| 2nd | R | R | R | R |
| 3rd | S | S | P | P |
| 4th | T | P | S | T |
In the first column, we see that 130 voters prefer Sarah to Tim and in the fourth column 150 voters prefer Sarah to Tim for a total of 280 votes. Tim is preferred to Sarah in the other two columns, giving him 220 votes (120+100). So, Sarah beats Tim in a head-to-head matchup. Since Sarah won, we put her name in the appropriate cell of the head-to-head matchup table.
| Paul | Rita | Sarah | Tim | |
| Paul | ---------- | RITA | SARAH | PAUL |
| Rita | ---------- | ---------- | RITA | RITA |
| Sarah | ---------- | ---------- | ---------- | SARAH |
| Tim | ---------- | ---------- | ---------- | ---------- |