Question

calculate a students final grade under the following guidelines:

category	score	percent of final grade
project	75	15%
research paper	92	35%
exam	81	20%

question 19
a student receives test scores of 62, 83, and 91. the students term project score is 88 and her homework score is 76. each test is worth 20% of the final grade, the term project is 25% of the final grade, and the homework grade is 15% of the final grade. what is the students mean score in the class?
options: 80.6, 80.0, 76.6, 83.3

Explanation:

First Problem (Calculate a student’s final grade)

Step1: Calculate Homework contribution

Multiply Homework score by its percentage.
$87 \times 0.30 = 26.1$

Step2: Calculate Project contribution

Multiply Project score by its percentage.
$75 \times 0.15 = 11.25$

Step3: Calculate Research Paper contribution

Multiply Research Paper score by its percentage.
$92 \times 0.35 = 32.2$

Step4: Calculate Exam contribution

Multiply Exam score by its percentage.
$81 \times 0.20 = 16.2$

Step5: Sum all contributions

Add up all the weighted scores.
$26.1 + 11.25 + 32.2 + 16.2 = 85.75$

Second Problem (Student’s mean score in the class)

Step1: Calculate average test score

Find the mean of the three test scores.
$\frac{62 + 83 + 91}{3} = \frac{236}{3} \approx 78.67$

Step2: Calculate test contribution

Multiply average test score by its percentage (20% each, three tests: total 60%? Wait, re - read: each test is 20%, so three tests: $3\times20\% = 60\%$? Wait, no: “each test is worth 20% of the final grade” – so three tests, each 20%, term project 25%, homework 15%. So total weight: $3\times20\%+25\% + 15\%=60\% + 25\%+15\% = 100\%$.

So test contribution: average test score $\times0.60$? Wait, no: each test is 20%, so three tests: $62\times0.20+83\times0.20 + 91\times0.20=(62 + 83 + 91)\times0.20=236\times0.20 = 47.2$

Step3: Calculate term project contribution

Multiply term project score by its percentage.
$88\times0.25 = 22$

Step4: Calculate homework contribution

Multiply homework score by its percentage.
$76\times0.15 = 11.4$

Step5: Sum all contributions

Add up the weighted scores.
$47.2+22 + 11.4=80.6$

Answer:

s:
First problem final grade: $\boldsymbol{85.75}$
Second problem mean score: $\boldsymbol{80.6}$ (corresponding to option A. 80.6)