Question

Scores of 70, 75, 80, and 85 are weighted at 10%, 20%, 30%, and 40%.(1 point) The weighted average score is

Answer 1

To calculate the weighted average score, you multiply each score by its respective weight (as a decimal) and then sum those values. Finally, you divide the total by the sum of the weights (which in this case is always 1 because they are percentages summing up to 100%).

Here are the steps:

1. Convert the weights from percentages to decimal form:
- 10% = 0.10
- 20% = 0.20
- 30% = 0.30
- 40% = 0.40

2. Multiply each score by its weight:
- \( 70 \times 0.10 = 7.0 \)
- \( 75 \times 0.20 = 15.0 \)
- \( 80 \times 0.30 = 24.0 \)
- \( 85 \times 0.40 = 34.0 \)

3. Sum these weighted values:
- \( 7.0 + 15.0 + 24.0 + 34.0 = 80.0 \)

4. The weighted average score is:
\[
\text{Weighted Average} = 80.0
\]

Thus, the weighted average score is **80.0**.