Question

Marks obtained by a student in English 46%, Mathematics $67$%, Sanskrit $72$%, Economics $58$%, Political science $53$% and History $53$%. If it is agreed to given double weights to marks in Englsih and Mathematics as compared to other subjects, the weighted mean is

• A. $58.43$
• B. $48.43$
• C. $57.75$
• D. None of these

Answer 1

The correct option is C $57.75$

The required mean is
$=\frac{m_1{x}_1+m_2.x_2+m_3{x}_3+...m_n{x}_n}{m_1+m_2+m_3+...m_n}$
$=\frac{2\left(0.46\right)+2\left(0.67\right)+0.72+0.58+0.53+0.53}{2+2+1+1+1+1}$
$=\frac{4.62}{8}$
$=0.5775$
$=57.75$%