Question

A student obtained the following marks percentage in an examination English - 50, Accounts - 75, Economic - 60, B. Std. - 80. Hindi - 55. if weights are 2,3,3,2,1 respectively allotted to the subjects, his weighted mean is

• A. $\frac{50+75+60+80+55}{2+3+3+2+1}$
• B. $\frac{(50\times 2)+(75\times 3)+(60\times 3)+(80\times 2)+(55\times 1)}{5}$
• C. $\frac{50\times 2+75\times 3+60\times 3+80\times 2+55\times 1}{2+3+3+2+1}$
• D. none

Answer 1

Answer: (C)

$\frac{50\times 2+75\times 3+60\times 3+80\times 2+55\times 1}{2+3+3+2+1}$

Percentage marks in the examination-

English=50

Accounts=75

Economics=60

B.Std=80

Hindi=55

Weight allotted to each subjects are-

English=2,Accounts=3,Economics=3,B.std=2 and Hindi=1

Mean=$\frac{sumofallobservationvalue}{Sumofallobservation}$

$\therefore$ Weight mean=$\frac{50\times 2+75\times 3+60\times 3+80\times 2+55\times 1}{2+3+3+2+1}$