To calculate the weighted average of the test scores, you need to multiply each score by its corresponding weight, sum those products, and then divide by the sum of the weights.
The test scores and their weights are as follows:
- Score 1: 60 with a weight of 20% (0.20)
- Score 2: 70 with a weight of 20% (0.20)
- Score 3: 80 with a weight of 30% (0.30)
- Score 4: 90 with a weight of 30% (0.30)
Now, we can calculate the weighted average:
\[ \text{Weighted Average} = (60 \times 0.20) + (70 \times 0.20) + (80 \times 0.30) + (90 \times 0.30) \]
Calculating each term:
\[ 60 \times 0.20 = 12 \] \[ 70 \times 0.20 = 14 \] \[ 80 \times 0.30 = 24 \] \[ 90 \times 0.30 = 27 \]
Now, add these results together:
\[ 12 + 14 + 24 + 27 = 77 \]
So, the weighted average of the four test scores is 77.
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