Standard Deviation

Standard Deviation Calculator

Calculate population and sample standard deviation with step-by-step breakdown.

Enter Numbers *

Separate numbers with commas, spaces, or new lines

Type

Rounding Precision

⚠️

Standard Deviation

—

📊

Data Distribution

Visual representation with mean and ±1σ bands

—

📋

Calculation Breakdown

Step-by-step solution

📐

Std Dev

—

📏

Mean (μ)

—

📐

Variance

—

✅

Count (n)

—

📖

Formula Reference

Standard deviation formulas

💡

Standard Deviation Tips

Understanding spread in data

📐 Statistical Disclaimer: Standard deviation measures the spread of data around the mean. Population SD uses n in the denominator, sample SD uses n-1 (Bessel's correction). Results are for educational purposes.