To calculate the weighted average, you'll need two pieces of information for each set of values:
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- Values (X): These are the numbers you want to calculate the weighted average for.
- Weights (W): These are the corresponding weights assigned to each value, indicating their importance or contribution to the average.
The formula to calculate the weighted average is:
Weighted Average (WA) = (W1 * X1 + W2 * X2 + ... + Wn * Xn) / (W1 + W2 + ... + Wn)
Where:
- WA is the weighted average.
- W1, W2, ... Wn are the weights for each corresponding value.
- X1, X2, ... Xn are the values.
Simply multiply each value by its respective weight, sum up all these products, and then divide by the sum of the weights to obtain the weighted average.
Here's a step-by-step example:
Let's say you have three test scores and their corresponding weights:
- Test 1 score (X1) = 90, Weight (W1) = 0.3
- Test 2 score (X2) = 85, Weight (W2) = 0.2
- Test 3 score (X3) = 88, Weight (W3) = 0.5
Using the formula:
WA = (0.3 * 90 + 0.2 * 85 + 0.5 * 88) / (0.3 + 0.2 + 0.5) WA = (27 + 17 + 44) / (0.3 + 0.2 + 0.5) WA = 88 / 1 WA = 88
So, the weighted average of these test scores is 88
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