Question 422456: At a certain high school, the respective weights for the following subjects are:
Mathematics 3, English 3, History 2, Science 2 and Art 1.
What is a student's average whose marks were the following: Geometry 89, American Literature 92, American History 94, Biology 81, and Sculpture 85?
Can you please help me to solve this problem? I tried adding all of the students marks and then taking the average of that and it was not the correct answer.
Found 2 solutions by ankor@dixie-net.com, jim_thompson5910:
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! Mathematics 3, English 3, History 2, Science 2 and Art 1.
What is a student's average whose marks were the following: Geometry 89, American Literature 92, American History 94, Biology 81, and Sculpture 85?
:
Math 3 * 89 = 267
Engl 3 * 92 = 276
Hist 2 * 94 = 188
Scie 2 * 81 = 162
Arts 1 * 85 = 85
------------------
tot. 11 ----- 978
:
 = 88.9
Answer by jim_thompson5910(35256)  (Show Source):
You can put this solution on YOUR website! The weights determine how important a given subject is. So if a class has a higher weight, it will factor more towards the average grade. This is why you can't just average the given marks like normal.
Instead, you simply multiply each weight by its corresponding grade and then you divide by 11 (the sum of the weights) to get
(3*89+3*92+2*94+2*81+1*85)/11 = (267+276+188+162+85)/11 = 978/11 = 88.909
So the average is 88.909
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Jim
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