Standard Deviation Calculator
Published On: 25/02/2026
Standard Deviation Calculator
Enter a list of numbers and calculate both population standard deviation (σ) and sample standard deviation (s). This calculator also shows the mean, variance, and count.
Inputs explained:
• Numbers: type values separated by commas, spaces, or new lines (e.g., 2, 4, 4, 5).
• Rounding: choose how many decimals to display.
Formulas:
Population: σ = √( (1/N) Σ (xᵢ − μ)² )
Sample: s = √( (1/(n−1)) Σ (xᵢ − x̄)² )
• Numbers: type values separated by commas, spaces, or new lines (e.g., 2, 4, 4, 5).
• Rounding: choose how many decimals to display.
Formulas:
Population: σ = √( (1/N) Σ (xᵢ − μ)² )
Sample: s = √( (1/(n−1)) Σ (xᵢ − x̄)² )
Tip: Use population if you have every data point. Use sample if your data is a subset of a larger group.
Standard Deviation Calculator — Description
The Standard Deviation Calculator helps you measure how spread out a dataset is. Enter a list of numbers and the tool will compute the mean, variance, and standard deviation. It can display both the population standard deviation (σ) and the sample standard deviation (s), depending on whether your dataset represents a full population or a sample.
This calculator is useful for statistics homework, data analysis, quality control, and understanding variability in real-world measurements.