Weighted Average Equation Math

X research source to find your weighted average simply multiply each number by its weight factor and then sum the resulting numbers up. X 20 80 30 90 20 30 86. The basic formula for a weighted average where the weights add up to 1 is x1 w1 x2 w2 x3 w3 and so on where x is each number in your set and w is the corresponding weighting factor.

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To calculate the weighted mean you first need to multiply the data points by weights.

Weighted average equation math. Displaystyle bar x frac 20 times 80 30 times 90 20 30 86 thus the weighted mean makes it possible to find the mean average student grade without knowing each student s score. The formula for calculating weighted averages for several values a1 a2 an each of them having a different weight v1 v2 vn would. Avgw σ a1 v1 a2 v2 an vn σ v1 v2 vn this means that in order to understand how to calculate weighted averages you have to multiply each value by its weight summarize those multiplications and then divide the result by the sum of all weights. Then add the results up.

For that set of number above with equal weights 1 5 for each number the math to find the weighted mean would be. 1 1 5 3 1 5 5 1 5 7 1 5 10 1 5 5 2. Only the class means and the number of students in each class are needed.