Weighted average score for exams and quizzes

In summary, the conversation discusses the issue of exams being 10 marks each and how that may impact the overall score. There is a debate about whether the maximum score should be 100 or 96 and how the weighted average should be interpreted. There is also confusion about what is being asked for in terms of the weighted average score.
  • #1
Eagle4112001
3
0
Homework Statement
There are 2 exams of 100 marks each having weightage of 30%each and three quizzes of 30 marks each and weightage for the whole quiz is 40%.what is the weighted average score
Relevant Equations
Any help is appreciated
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  • #2
What if the exams were 10 marks each?
 
  • #3
PeroK said:
What if the exams were 10 marks each?
Nah,it's 100.even if it is 10 marks,the problem is same.
 
  • #4
Eagle4112001 said:
Nah,it's 100.even if it is 10 marks,the problem is same.
The problem looks a lot worse: 30% of 10 plus 30% of 10 plus 40% of 90 equals 42, which is a long way short of 100.
 
  • #5
Yup,
PeroK said:
The problem looks a lot worse: 30% of 10 plus 30% of 10 plus 40% of 90 equals 42, which is a long way short of 100.
 
  • #6
Why do you think that 30% of something plus 30% of something else plus 40% of anything else must equal 100?
 
  • #7
Anyway, with that marking scheme you have a maximum score of ##96##. You could leave it like that or scale up by a factor of ##100/96## to get a total score of ##100##.

I think you were fooled because 96 is close to 100, but it could have been anything: 42, 75, 1260, whatever.
 
  • #8
PS there may be two ways to interpret the weighted average in this case. First, we could have weighings of ##0.3, 0.3## and ##0.4## respectively, which is what you've done.

Altenatively, we could require that the third weighting means that a full score of ##90## in the tests gives an overall scaore of 40%. This means that the third weighting would be ##40/90##.

I'm not sure which of these is intended.
 
  • #9
Eagle4112001 said:
Homework Statement:: what is the weighted average score?
I cannot figure out what is being asked for.
If a component is "weighted 30%" it means a max score on that component would give 30% of the max overall mark. But we are not given a max overall mark.
If we presume "100%" then given an actual score of X out of Y on the component then this would contribute X/Y*30% to the overall result. So sensible questions might be:
- If Freddy scored (list of five scores) what was his overall percentage?
- How should each of the five scores be adjusted before adding them?

But the question asks for a single number.
If it means the max weighted average score then that would be whatever you choose it to be, 100%, 100, 96, 10...

Btw, there is no such word as "weightage". It's just "weight".
 

1. What is a weighted average score?

A weighted average score is a calculation that takes into account the relative importance or weight of each component in a set of scores. It is used to determine an overall average score that reflects the varying levels of importance of each component.

2. How is the weighted average score calculated?

The weighted average score is calculated by multiplying each score by its corresponding weight, adding all of these products together, and then dividing by the sum of the weights. This gives a final average score that takes into account the weights of each component.

3. Why is a weighted average score used for exams and quizzes?

A weighted average score is used for exams and quizzes because it allows for a more accurate representation of a student's overall performance. It takes into account the varying levels of difficulty and importance of each exam or quiz, rather than treating all scores equally.

4. How does a weighted average score affect my final grade?

A weighted average score can significantly impact your final grade, as it reflects your performance on each individual exam and quiz. If you perform well on exams and quizzes with a higher weight, your final grade will likely be higher than if you performed well on exams and quizzes with a lower weight.

5. Can a weighted average score be manipulated?

A weighted average score cannot be manipulated if the weights are accurately assigned by the instructor. However, if the weights are not accurately assigned or if a student is able to influence the weights, then the weighted average score can be manipulated. It is important for instructors to assign weights fairly and consistently to ensure the integrity of the weighted average score.

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