Weighted mean

Gives the average of a set of values where each value counts according to its weight, so larger weights pull the result closer to that value. It is used when some observations are more important, reliable, or frequent than others.

\bar{x} = \frac{\sum_{i=1}^{n} w_i x_i}{\sum_{i=1}^{n} w_i}

What the symbols mean

the weighted mean
the i-th value in the data set
the weight assigned to the i-th value
the number of values

About this formula

  • FieldStatistics
  • TopicDescriptive statistics
  • LevelHigh school
  • Also calledweighted average, weighted arithmetic mean, average with weights, weighted average formula, xbar weighted mean, sum of weights times values divided by sum of weights
  • SourceWikidata Q729113

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