Weighted Average Calculator

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Weighted average calculation

The weighted average (x) is equal to the sum of the product of the weight (w_i) times the data number (x_i) divided by the sum of the weights:

Example

Find the weighted average of class grades (with equal weight) 70,70,80,80,80,90:

Since the weight of all grades are equal, we can calculate these grades with simple average or we can cound how many times each grade apear and use weighted average.

2×70,3×80,1×90

x = (2×70+3×80+1×90) / (2+3+1) = 470 / 6 = 78.33333

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See also

• Standard deviation calculator
• Variance calculator
• Grade calculator
• GPA calculator
• Math Calculators

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