The ogive shown below displays the percentiles of math scores for a sample of students. Which score marks the $50$th percentile according to the ogive? What does this percentile indicate?

$675$

The math score below which $50\%$ of the students scored

$575$

The average math score of all students

$575$

The math score below which $50\%$ of the students scored

$575$

The math score below which $75\%$ of the students scored