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In this post, learn how to calculate a weighted average and go through two worked examples. Weighted Average Formula. Calculating the mean is a simple process of summing all your values and dividing them by the number of values. That process gives each value an equal weight.
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The general formula to find the weighted mean is given as, Weighted mean = Σ (w) n (x̄) n /Σ (w) n. where, x̄ = the mean value of the set of given data. w = corresponding weight for each observation. The simple steps used to calculate the weight mean through the formula is: Step 1: Add all the weighted values together.
To find the weighted mean: Multiply the numbers in your data set by the weights. 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.
Weighted Mean: A mean where some values contribute more than others. When the weights add to 1: just multiply each weight by the matching value and sum it all up; Otherwise, multiply each weight w by its matching value x, sum that all up, and divide by the sum of weights:
Weighted Mean Formula. Weighted Mean is an average computed by giving different weights to some of the individual values. If all the weights are equal, then the weighted mean is the same as the arithmetic mean. It represents the average of a given data.
The weighted arithmetic mean is similar to an ordinary arithmetic mean (the most common type of average), except that instead of each of the data points contributing equally to the final average, some data points contribute more than others.
Jun 11, 2024 · Below you will see how to calculate the weighted mean using the weighted average formula. Also, you'll find examples where the weighted average method may be used - like e.g. calculation of the GPA, average grade, or your final grade.
