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Standard Deviation Calculator

Calculate standard deviation, variance, and mean from a data set. Population and sample. Free calculator.

📅 Updated April 2026 Formula verified 📖 4 min read 🆓 Free · No sign-up

Concept

How spread out data is from mean। Low SD: clustered। High: spread। Nifty 50 annual volatility: ~15-20%। 68% data within ±1 SD। 95% within ±2 SD。

Finance

Mutual fund SD: risk measure। Lower SD = more stable returns. SBI Bluechip: ~15% SD। Smallcap: ~25% SD。

⚡ CalcWolf Insight

In investing, standard deviation IS risk. The S&P 500 has a historical SD of 15-16%, meaning a 30% swing in either direction is a once-per-generation event — but it does happen.

Frequently asked questions
What is SD?
Average distance from mean। Higher = more volatile/risky。
MF risk?
SD as risk proxy। Large cap ~15%। Small cap ~25%। Higher SD = higher risk + potential return。
✓ Math logic verified against primary sources → See our verification process
Kevin Glover
Founder, CalcWolf · GLVTS · Blickr
All formulas sourced from primary references — IRS publications, peer-reviewed research, and official standards. Results are tested against independent reference calculators before publishing. Rates and brackets updated when official sources change. Editorial policy →
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Found a bug or outdated data? Reports go directly to Kevin and are reviewed personally.