1. Example Problem I

The marks obtained by \(30\) students of Class X of a certain school in a Mathematics paper consisting of \(100\) marks are presented in table below. Find the mean of the marks obtained by the students.

 

Marks obtained (\(x_i\))

\(10\)

\(20\)

\(36\)

\(40\)

\(50\)

\(56\)

\(60\)

\(70\)

\(72\)

\(80\)

\(88\)

\(92\)

\(95\)

Number of students (\(f_i\))

\(1\)

\(1\)

\(3\)

\(4\)

\(3\)

\(2\)

\(4\)

\(4\)

\(1\)

\(1\)

\(2\)

\(3\)

\(1\)