## Calculate average online

**How to use this average-calculator:** just enter a sequence of numbers in the text-box left. You can enter a number per line (line separated),
or multiple numbers on each line, separated by **;** (semicolon) or a space. If your data is csv-formatted (like an export from excel or spreadsheet),
you can simply copy-paste the data in the input-box below. **Attn.:** use **.** (dot) or **,** (comma) as decimal separator, but do not use a thousand-separator!.

total numbers | 0 |

sum | 0.00 |

average | 0.00 |

variance (population) | 0.00 |

standard deviation (population) | 0.00 |

variance (sample) | 0.00 |

standard deviation (sample) | 0.00 |

## Average Calculation Formulas

#### Average (mean value)

Given a sequence of numbers, the average is calculated as **(the sum of all values) divided by the number of values**.
(ex.: the average of 2, 3, 5, 6 and 9 is 5 as (2+3+5+6+9)/5 = 25/5 = 5 )

note: this is the unweighted average, for weighted average calculation see here.

#### Variance of a population (biased) σ^{2}

where μ is the average value of the population x_{1},... , x_{n}.

#### Standard Deviation of a population (biased) σ

The standard deviation of a population σ is the square root of the variance σ^{2}.

#### Variance of a sample (unbiased, Bessel correction factor n/(n-1))

where x is the average value of the sample x_{1},... , x_{n}.