Standard Deviation Calculator
Calculate standard deviation, variance, and mean of a data set. Free online statistics calculator.
💡 Enter comma-separated numbers. Example: "2,4,4,4,5,5,7,9" → σ = 2.
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How Standard Deviation Works
Step-by-step guide with examples
Input
Convert
Result
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Formula
1. Calculate the mean (average). 2. Subtract the mean from each value and square the result. 3. Calculate the average of squared differences. 4. Take the square root = standard deviation. σ = √(Σ(xi - μ)² / N)
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Applications
• Statistical analysis and quality control. • Finance (volatility measurement). • Scientific research and experiments. • Grading and assessment.
Frequently Asked Questions
2 common questions answered
2 Questions2 AnswersClick to expand
Q1What is standard deviation?
Standard deviation measures how spread out data points are from the mean. A low SD means data is clustered near the mean; high SD means it's spread out.
Q2How to calculate standard deviation?
Find the mean, subtract each value from the mean, square the differences, average them, and take the square root.
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