2024 BTYSS P2 Q12

The cumulative frequency curve shows the marks scored by \(240\) students of School X for the Math Prelim Exams.

1. The passing mark is \(50\) marks. Students who do not pass have to go for LSP.
   Find the number of students who have to go for LSP.[1]
2. Find the median and interquartile range.
   Median \(=\ldots\ldots\ldots\)[1]
   IQR \(=\ldots\ldots\ldots\)[1]
3. The median and inter-quartile range for students of School Y are \(56\) and \(20\) respectively.
   Claim 1: Students of School Y performed better than students of School X.
   I agree/disagree because[1]
   Claim 2: Students of School Y performed more consistently than students of School X.
   I agree/disagree because[1]
4. In a class, there are \(13\) boys and \(16\) girls.
   A teacher randomly selects three students to represent the class for a competition.
   Find the probability that only one student is a boy.[3]