Advanced Average Calculator

Input Data

Enter numbers separated by spaces, commas, or new lines:

Results

Enter your data and click "Calculate" to see results.

Data Visualization

Formulas

Arithmetic Mean (Average)

Mean = (Σx) / n

Where Σx is the sum of all values and n is the number of values.

Standard Deviation (Sample)

s = √[Σ(x - x̄)² / (n - 1)]

Where x̄ is the mean, x is each value, and n is the number of values.

Standard Deviation (Population)

σ = √[Σ(x - μ)² / N]

Where μ is the population mean and N is the population size.