Target: Calculate average, standard deviation, the sample size for several variables. Present histogram chart and average range chart

Variance calculator and standard deviation calculator.

### Statistics

**n** -

**Sample size**, the number of values.

**Mean** -

**Average**.

**S** -

**Sample standard deviation**, if the list of values you entered is only a sample from the entire population, this is the best estimation for the Population Standard Deviation.

**S**^{2} -

**Sample variance**, if the list of values you entered is only a sample from the entire population, this is the best estimation for the Population Variance.

**σ** -

**Population standard deviation**, if the list of values you entered is the entire population, this is the exact Standard deviation.

**σ**^{2} -

**Population variance**, if the list of values you entered is the entire population, this is the exact Variance.

**MAD** -

**Mean absolute deviation**, the average of the absolute distances from the average.

**SEM** -

**Standard Error of the Mean**, The standard deviation of the mean.

#### Sample variance formula

S^{2} = | Σ(𝑥_{i} - x̄)^{2} |

n-1 |

#### Population variance formula

σ^{2} = | Σ(𝑥_{i} - x̄)^{2} |

n |

#### Sample standard deviation formula

S = √(sample variance)

#### Population standard deviation formula

σ = √(population variance)

#### Median Absolute Deviation (MAD) formula

#### Standard Error of the Mean (SEM) formula