Standard Deviation Calculator
Calculate population or sample standard deviation, variance, mean, and more with step-by-step solutions
Data Input
Enter numbers separated by commas, spaces, or new lines
Data Preview
—
Count: 0
Quick Examples:
Count (n)
—
Sum
—
Mean (μ/x̄)
—
Median
—
Standard Deviation
—
Sample (n-1)
Variance
—
Sample (n-1)
Min
—
Max
—
Range
—
Q1 (25%)
—
Q3 (75%)
—
Step-by-Step Solution
Enter a data set and click Calculate to see the step-by-step solution.
📊 Sample vs Population
Sample: divides by (n-1)
Population: divides by n
📈 Formulas
σ = √(Σ(xi-μ)²/n)
s = √(Σ(xi-x̄)²/(n-1))
💡 Interpretation
Low SD = data clustered around mean
High SD = data spread out