Arithmetic mean of the squares of the deviations of a statistical variable in relationship the arithmetic mean of the distribution.
Formulas
- In the case of an entire population, the variance is obtained by applying this formula:
\(\dfrac {\sum \left( x_{i}-\mu \right) ^{2}} {N}\)
In which μ represents the arithmetic mean of the distribution and \(N\) represents the number of data in this population. - In the case of a sample of this distribution, the variance is obtained by applying this formula:
\(\dfrac {\sum \left( x_{i}-\overline {x}\right) ^{2}} {n-1}\)In which \(\overline {x}\) represents the mean of the data in the sample and \(n\) represents the number of data considered.