Question

A physics student want to calculate her final grade. The grade distribution is tests = 30%, quizzes = 15%, homework=10%, labs=25%, and the final exam= 20%. Calculate her final grade if she got the following averages for each category: Tests=80%; Quizzes=70%; Homework=80%; Labs=90%; Final exam=90%.

Answer 1

Given:

The grade distribution is tests = 30%, quizzes = 15%, homework=10%, labs=25%, and the final exam= 20%.

Averages for each category: Tests=80%; Quizzes=70%; Homework=80%; Labs=90%; Final exam=90%.

Required:

We need to find the final grade.

Step-by-step explanation:

Let the total mark for each is 100,

The mark for the test is 80.

We need to find 30% of 80.

`grade\text{ for test =}(30)/(100)*80=24`

The mark for the quizzes is 70.

We need to find 15% of 70.

`grade\text{ for quizzes =}(15)/(100)*70=10.5`

The mark for the homework is 80.

We need to find 10% of 80.

`grade\text{ for homework =}(10)/(100)*80=8`

The mark for the labs is 90.

We need to find 25% of 90.

`grade\text{ for labs =}(25)/(100)*90=22.5`

The mark for the final exam is 90.

We need to find 20% of 90.

`grade\text{ for final exam=}(20)/(100)*90=18`

Add grade values for all the categories.

`Final\text{ grade =24+10.5+8+22.5+18}`

The final grade was 83 out of 100.

Divide 83 by 10.

The final grade is 8.3 out of 10.

Final answer:

`Final\text{ grade =83 out of 100}`
`Final\text{ grade =8.3 out of 10}`