Question

A professor grades students on four tests, a term paper, and a final examination. Each test counts as 15% of the course grade. The term paper counts as 20% of the course grade. The final examination counts as 20% of the course grade. Alan has test scores of 79, 95, 89, and 81. Alan received an 81 on his term paper. His final examination score was 85. Use the weighted mean formula to find Alan's average for the course.

Answer 1

The Alan's average for course is 72.65.

Explanation:

Given that,

Each test counts as 15% of the course grade. 20% of course grade is counted term test paper. Alan has test scores of 79, 95, 89, and 81. Alan got 81 score on his term paper . Alan's final examination score = 85.

`\sum w=1`

Let n number x₁,x₂,.......,
`x_n` with respect to assigned weight
`w_1`,
`w_2`,.......,
`w_n` is

`{\textrm{weighted mean}}= (\sum w.x)/(\sum w)`

Where
`\sum w.x` is the sum of the products the number with the relevant weight.

weighted mean
`=(79* 15\%+95 * 15\%+89* 15\%+81* 20\%+85*20\%)/(1)`

=72.65

The Alan's average for course is 72.65.