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. suppose a student has test scores of 96, 80, 76, and 78, an 82 on the term paper, and a final examination score of 88. use the weighted mean formula to find the students average for the course. (round your answer to one decimal place.)

Explanation:

Step1: Calculate the weight of each component

• Each test: \(15\% = 0.15\), there are 4 tests.
• Term paper: \(20\%= 0.2\)
• Final exam: \(20\% = 0.2\)

The sum of weights \(=4\times0.15 + 0.2+0.2=1\)

Step2: Calculate the weighted score for each component

• Test scores: \(96,80,76,78\)

The weighted score for tests \(=(96 + 80+76 + 78)\times0.15=(330)\times0.15 = 49.5\)

• Term - paper score: \(82\), weighted score \(=82\times0.2 = 16.4\)
• Final - exam score: \(88\), weighted score \(=88\times0.2=17.6\)

Step3: Calculate the course grade

The course grade \(=49.5+16.4 + 17.6=83.5\)

Answer:

\(83.5\)