Means | Mathematical analysis | Summary statistics

Weighted arithmetic mean

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. The notion of weighted mean plays a role in descriptive statistics and also occurs in a more general form in several other areas of mathematics. If all the weights are equal, then the weighted mean is the same as the arithmetic mean. While weighted means generally behave in a similar fashion to arithmetic means, they do have a few counterintuitive properties, as captured for instance in Simpson's paradox. (Wikipedia).

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Poisson sampling | Bessel's correction | Weighting | Probability-proportional-to-size sampling | Average | Effective sample size | Uncorrelatedness (probability theory) | Normalization (statistics) | Mean | Gauss–Markov theorem | Ratio distribution | Design effect | Bootstrapping (statistics) | Standard score | Independent and identically distributed random variables | Covariance matrix | Weight function | Weighted geometric mean | Weighted median | Sampling design | Weighted least squares | Variance | Central tendency | Jackknife resampling | Summary statistics | Weighted average cost of capital | Estimand | Probability distribution | Convex combination | Cluster sampling | Horvitz–Thompson estimator | Descriptive statistics | Arithmetic mean | Design matrix | Sample standard deviation | Standard deviation | Survey sampling | Taylor series | Ratio estimator | Simpson's paradox | Expected value | Normalizing constant | Tuple | Binomial proportion confidence interval | Survey methodology | Base rate fallacy | Bernoulli distribution | Sample variance | Covariance