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Q#1 GATE CH 2016 MCQ +2 marks -0.66 marks

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 istribution, which of the following statements will have the highest probability of being TRUE?

No student in group Q scored less marks than any student in group P.

No student in group P scored less marks than any student in group Q.

Most students of group Q scored marks in a narrower range than students in group P.

The median of the marks of group P is 100.

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