Questions: Compute BY HAND the final course grade for a student with the given scores below.
a. SHOW ALL WORK. Remember that this is weighted average.
b. Round your answer to nearest hundredth.
Homework Average 82
Quiz Average 86
Excel Project 85
Finance Project 77
Tests 88,75,92
Transcript text: Compute BY HAND the final course grade for a student with the given scores below.
a. SHOW ALL WORK. Remember that this is weighted average.
b. Round your answer to nearest hundredth.
\begin{tabular}{|l|l|}
\hline Homework Average & 82 \\
\hline Quiz Average & 86 \\
\hline Excel Project & 85 \\
\hline Finance Project & 77 \\
\hline Tests & $88,75,92$ \\
\hline
\end{tabular}
Solution
Solution Steps
To compute the final course grade using a weighted average, we need to multiply each component by its respective weight, sum these products, and then divide by the total weight. The weights for each component should be provided, but if not, we will assume equal weights for simplicity. Finally, we round the result to the nearest hundredth.
Step 1: Given Scores
We have the following scores for the student:
Homework Average: \( 82 \)
Quiz Average: \( 86 \)
Excel Project: \( 85 \)
Finance Project: \( 77 \)
Test Scores: \( 88, 75, 92 \)
Step 2: Calculate Average Test Score
To find the average test score, we compute:
\[
\text{Average Test Score} = \frac{88 + 75 + 92}{3} = \frac{255}{3} = 85
\]
Step 3: Assign Weights
Assuming equal weights for each component, we have:
Weight for Homework: \( 0.2 \)
Weight for Quiz: \( 0.2 \)
Weight for Excel Project: \( 0.2 \)
Weight for Finance Project: \( 0.2 \)
Weight for Tests: \( 0.2 \)
Step 4: Calculate Weighted Average
The final course grade is calculated using the formula:
\[
\text{Final Grade} = (82 \times 0.2) + (86 \times 0.2) + (85 \times 0.2) + (77 \times 0.2) + (85 \times 0.2)
\]
Calculating each term:
\[
= 16.4 + 17.2 + 17 + 15.4 + 17 = 83
\]
Final Answer
The final course grade for the student is \(\boxed{83}\).