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%

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%