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

78, 88, 96, and 94.
Alan received an 88 on his term paper. His final examination score was 90. Use the weighted mean formula to find Alan's average for the course. (Round your answer to one decimal place.)

Answer 1

To find Alan's average for the course, we need to calculate the weighted mean using the formula (Value1 * Weight1 + Value2 * Weight2 + ... + ValueN * WeightN) / (Weight1 + Weight2 + ... + WeightN). Plugging in Alan's scores and weights, we find that his average is 89.0.

Step-by-step explanation:

To find Alan's average for the course, we need to calculate the weighted mean. The formula for weighted mean is:

Weighted Mean = (Value1 * Weight1 + Value2 * Weight2 + ... + ValueN * WeightN) / (Weight1 + Weight2 + ... + WeightN)

In this case, the four tests each have a weight of 15%, the term paper has a weight of 20%, and the final examination has a weight of 20%. Alan's test scores are 78, 88, 96, and 94. His term paper score is 88, and his final examination score is 90.

Let's plug in the values into the formula:

Weighted Mean = (78 * 0.15 + 88 * 0.15 + 96 * 0.15 + 94 * 0.15 + 88 * 0.20 + 90 * 0.20) / (0.15 + 0.15 + 0.15 + 0.15 + 0.20 + 0.20)

Simplifying the numerator and denominator:

Weighted Mean = (11.70 + 13.20 + 14.40 + 14.10 + 17.60 + 18.00) / 1.2

Weighted Mean = 89.0

Therefore, Alan's average for the course is 89.0.