Students taking an exam are divided into two groups, P and Q such that each group has the same number of students. The performance of each of the students in a test was evaluated out of $200$ marks. It was observed that the mean of group P was $105$, while that of group Q was $85$. The standard deviation of group P was $25$, while that of group Q was $5$. Assuming that the marks were distributed on a normal distribution, which of the following statements will have the highest probability of being TRUE?

1. No student in group Q scored less marks than any student in group P.
2. No student in group P scored less marks than any student in group Q.
3. Most students of group Q scored marks in a narrower range than students in group P.
4. The median of the marks of group P is $100$.