It is given that a number under par means negative, a number over par is positive and a par means zero.
Hence, for the first hole with 3 under par, the number is -3.
For the second hole with 1 under par, the number is -1.
For the third hole with par, the number is 0.
The fourth hole with 2 over par, the number is +2.
The fifth hole with par is equivalent to the number 0.
To find the total score of the golfer after five holes, add the scores for all five holes:

The value -2 with negative sign shows the golfer was under par after 5 holes by 2 strokes.
Hence, the correct option is the fourth option.