The marks scored by \(50\) students of a class are \(m_1, m_2, m_3, \ldots, m_{50}\), where \(m_1<m_2<\ldots<m{50}\).

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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