What is the average grade of the student who got the following:
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
- Grade 73 with weight 0.20: 73×0.20=14.6
- Grade 94 with weight 0.15: 94×0.15=14.1
- Grade 91 with weight 0.25: 91×0.25=22.75
- Step 3: Sum the contributions:
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.