Question

the scores and their percent of the final grade for a statistics student are given. what is the students weighted - mean score? homework: 80, 15%; quiz: 83, 5%; quiz: 87, 5%; project: 99, 45%; final exam: 91, 30%. the students weighted - mean score is (simplify your answer. round to two decimal places as needed.)

Explanation:

Step1: Convert percentages to decimals

Homework: $15\%=0.15$, Quiz 1: $5\% = 0.05$, Quiz 2: $5\%=0.05$, Project: $45\% = 0.45$, Final - Exam: $30\%=0.30$

Step2: Multiply scores by weights

Homework: $80\times0.15 = 12$, Quiz 1: $83\times0.05=4.15$, Quiz 2: $87\times0.05 = 4.35$, Project: $99\times0.45=44.55$, Final - Exam: $91\times0.30 = 27.3$

Step3: Sum up the products

$12 + 4.15+4.35 + 44.55+27.3=92.35$

Answer:

$92.35$