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The weighted average (x) is equal to the sum of the product of the weight (wi) times the data number (xi) divided by the sum of the weights:
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
To calculate the weighted average, you simply multiply each data point by its assigned weight and add up these products. Next, sum all the weights associated with the data points. Finally, divide the total of the weight*value products by the sum of the weights. Congratulations, you've successfully determined the weighted mean!