Standard Deviation Calculator

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

Separate values with commas, spaces, or new lines

Use Shawon Calculators' free standard deviation to get instant, accurate results directly in your browser. No data is stored or transmitted — all calculations happen locally on your device for complete privacy.

Standard Deviation — Free Online Calculator

Calculate standard deviation, variance, mean, median, and mode for any dataset. Free, instant statistics calculator. Part of our Math calculators collection, trusted by students, professionals, and everyday users worldwide.

100% Accurate Uses verified mathematical formulas
Completely Free No registration or payment needed
Private & Secure Data stays in your browser
Works Everywhere Desktop, tablet, and mobile

How to Use This Standard Deviation

1
Enter Values

Input your numbers into the calculator fields

2
Get Results

Results are calculated instantly as you type

3
Use or Share

Copy results or use them for your needs

Why Choose Shawon Calculators?

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Verified Accuracy

Uses standard mathematical formulas and algorithms verified against professional tools.

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100% Private

Your data never leaves your device. All calculations happen locally in your browser.

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Completely Free

No hidden fees, no registration. 51+ calculators available for unlimited use.

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Any Device

Responsive design works perfectly on desktop, tablet, and mobile browsers.

Frequently Asked Questions

How do I calculate standard deviation?

Enter your data values separated by commas. The calculator computes mean, sample/population standard deviation, variance, median, mode, range, and sum.

What is the difference between sample and population standard deviation?

Sample SD (s) divides by n-1, used when data is a sample from a larger population. Population SD (σ) divides by n, used when you have the entire population's data.

Is it free?

Yes, completely free.

Is my data private?

Yes. All calculations happen in your browser.

Formula Used

σ = √[Σ(xᵢ - x̄)² / N] (population) | s = √[Σ(xᵢ - x̄)² / (N-1)] (sample)

Standard deviation measures how spread out data points are from the mean. Population σ divides by N; sample s divides by N-1 (Bessel's correction).

Who Uses This Standard Deviation?

👨‍💻 Statistics students learning measures of dispersion and variance
📊 Quality control analysts monitoring manufacturing consistency
🎓 Financial analysts measuring investment volatility and risk
🏢 Researchers analyzing experimental data spread in scientific studies

About Shawon Calculators — Free Online Calculation Tools

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