What is the weighted average of four test scores of 60, 70, 80, and 90, with weights of 20%, 20%, 30%, and 30%?(1 point) Responses 73 73 75 75 81 81 77

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Answer 1

To calculate the weighted average of the four test scores, we multiply each score by its corresponding weight and then sum these values. Finally, we divide by the total of the weights.

Here are the scores and their weights:

• Score 1: 60 with weight 20% (0.20)
• Score 2: 70 with weight 20% (0.20)
• Score 3: 80 with weight 30% (0.30)
• Score 4: 90 with weight 30% (0.30)

Now we calculate the weighted contributions:

1. \( 60 \times 0.20 = 12 \)
2. \( 70 \times 0.20 = 14 \)
3. \( 80 \times 0.30 = 24 \)
4. \( 90 \times 0.30 = 27 \)

Now we sum these contributions:

\( 12 + 14 + 24 + 27 = 77 \)

Thus, the weighted average is:

\[ \text{Weighted average} = 77 \]

So the answer is:

77