Marks345678Frequency5y?1y941 Marks 3 4 5 6 7 8 Frequency 5 y ? 1 y 9 4 1 The table above gives the frequency distribution of marks obtained by a group of st...

$\begin{array}{ccccccc}\text{Marks}& 3& 4& 5& 6& 7& 8\\ \text{Frequency}& 5& y?1& y& 9& 4& 1\end{array}$

The table above gives the frequency distribution of marks obtained by a group of students in a test. If the total mark scored is 200, the value of y is

Answer Details

(3 x 5) + (4(y - 1)) + (5y) + (6 x 9) + (7 x 4) + 8 = 200
15 + 4y - 4 + 5y + 54 + 28 + 8 = 200
9y + 105 - 4 = 200
9y + 101 = 200
9y = 200 - 101
9y = 99
y = 11