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High Quality Content by WIKIPEDIA articles! In statistics, given a set of data, X={x_1,x_2dots,x_n} and corresponding weights, W={w_1, w_2,dots,w_n } the weighted geometric mean is calculated as bar{x} = left(prod_{i=1}^n x_i^{w_i}right)^{1 / sum_{i=1}^n w_i} = quad exp left( frac{sum_{i=1}^n w_i ln x_i}{sum_{i=1}^n w_i quad} right) Note that if all the weights are equal, the weighted geometric mean is the same as the geometric mean.