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Simple and Weighted Arithmetic Mean


In mathematics and statistics, the arithmetic mean is the sum of a collection of numbers divided by the count of numbers in the collection.

Simple arithmetic mean (or mean or average)

$$\bar{a}=\frac{a_{1}+a_{2}+...+a_{n}}{n}=\frac{1}{n} \times \sum_{i=1}^{n}a_{i}$$

where,

a1, ...ā€” data set;
nā€” number of values.

Weighted arithmetic mean

$$\bar{a}=\frac{a_{1}\times b_{1}+...+a_{n} \times b_{n}}{b_{1}+...+b_{n}}=\frac{\sum_{i=1}^{n}a_{i} \times b_{i}}{\sum_{i=1}^{n}b_{i}} $$

where,

b1, ...ā€” non-negative weights.

See also: