Students taking an exam are divided into two groups, P and Q such that each…

GATE · 2016 · ME · Set 2 · General Aptitude

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?

A.
No student in group Q scored less marks than any student in group P.
B.
No student in group P scored less marks than any student in group Q.
C.
Most students of group Q scored marks in a narrower range than students in group P.
D.
The median of the marks of group P is 100.