The marks scored by \(50\) students of a class are \(m_1, m_2, m_3, \ldots, m_{50}\), where \(m_1<m_2<\ldots<m_{50}\). Student \(1\) scored \(40\) and student \(50\) scored \(90\). What is the average score of the class?
1. No two students scored the same marks and \(m_{25}=62\)
2. The marks of the students follow an arithmetic progression
OA B