Calculate the Weighted Average: Student's Grade from 40%, 20%, 15%, and 25% Scores

Question

What is the average grade of the student who got the following:

GradeWeight40%20%15%25%68739491

Video Solution

Step-by-Step Solution

To find the weighted average grade, follow these steps:

  • Step 1: Convert the percentage weights into decimal form:
    • 40% to 0.40
    • 20% to 0.20
    • 15% to 0.15
    • 25% to 0.25
  • Step 2: Calculate the contribution of each grade by multiplying it by its weight:
    • Grade 68 with weight 0.40: 68×0.40=27.2 68 \times 0.40 = 27.2
    • Grade 73 with weight 0.20: 73×0.20=14.6 73 \times 0.20 = 14.6
    • Grade 94 with weight 0.15: 94×0.15=14.1 94 \times 0.15 = 14.1
    • Grade 91 with weight 0.25: 91×0.25=22.75 91 \times 0.25 = 22.75
  • Step 3: Sum the contributions:
  • 27.2+14.6+14.1+22.75=78.65 27.2 + 14.6 + 14.1 + 22.75 = 78.65

Since the weights sum up to 100%, the weighted average grade is directly this sum.

Therefore, the student's weighted average grade is 78.65 78.65 .

Answer

78.65 78.65