Class 11

Math

Algebra

Sequences and Series

A student scored marks 46 % in English, 67 % in Maths, 53 % in Hindi, 72 % in History and 58 % in Economics. As compared to other subject weightage given to Mathematics, then find weightage mean marks of students.

$x_{1}=46,x_{2}=67,x_{3}=53,x_{4}=72,x_{5}=58$

Let weightage of Hindi, History and Economics = x

The weightage of Maths = 2x

and of English = 3x

So, here $w_{1}=3x,w_{2}=2x,w_{3}=x,w_{4}=x,w_{5}=x$

Then, weightage arithmetic mean

$Xˉ=∑w_{i}∑x_{i}w_{i} $

$=w_{1}+w_{2}+w_{3}+w_{4}+w_{5}w_{1}x_{1}+w_{2}x_{2}+w_{3}x_{3}+w_{4}x_{4}+ w_{5}x_{5} $

$=3x+2x+x+x+x(46)(3x)+67(2x)+53x+72x+58x $

$=8x138x+134x+53x+72x+58x $

$=8x455x =8455 =56.865$ marks