there are 60 people in a teamwork and cooperation class offered on weekends at work. the class is divided…

there are 60 people in a teamwork and cooperation class offered on weekends at work. the class is divided into 4 groups. each groups average test score is given in the chart. what was the average score for the whole class? teamwork and cooperation student groups group a group b group c group d 30% of class 40% of class 25% of class 5% of class avg score 96 avg score 87 avg score 75 avg score 72 a) 83% b) 84% c) 86% d) 87%
Answer
Explanation:
Step1: Calculate weighted scores for each group
Group A: $0.3\times96 = 28.8$
Step2: Calculate weighted score for Group B
Group B: $0.4\times87=34.8$
Step3: Calculate weighted score for Group C
Group C: $0.25\times75 = 18.75$
Step4: Calculate weighted score for Group D
Group D: $0.05\times72=3.6$
Step5: Calculate total weighted - average score
Total: $28.8 + 34.8+18.75 + 3.6=85.95\approx86$
Answer:
C. 86%