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소개

Standard Deviation Calculator — Population and sample standard deviation & variance. Enter Numbers (comma separated), Type to get an instant, accurate result.

공식

Sample SD: √(Σ(x−mean)² / (n−1)). Population SD: √(Σ(x−mean)² / n).

단계별 안내

Enter the Numbers (comma separated).
Enter the Type.
Click Calculate to see your result instantly.

실제 예시

Example: With Numbers (comma separated) = 2, 4, 4, 6, 8, Type = sample, the Standard Deviation Calculator gives Mean: 4.8, Variance: 5.2, SD: 2.2804.

자주 묻는 질문

Should I use sample or population standard deviation?

Use sample if your numbers are a subset of a larger group; use population if they're the entire group you care about.

Why does sample SD divide by n−1?

It's Bessel's correction, which adjusts for the bias of estimating variance from a sample rather than the whole population.

What inputs does the Standard Deviation Calculator need?

You'll need to provide: Numbers (comma separated), Type. All fields use sensible defaults, so you can see a working example immediately and then adjust the values to match your own numbers.

How accurate is the Standard Deviation Calculator?

The Standard Deviation Calculator applies the formula exactly as calculated — Sample SD: √(Σ(x−mean)² / (n−1)). Population SD: √(Σ(x−mean)² / n). — so results are precise for the inputs you provide. Accuracy depends on entering correct, realistic input values.

Is the Standard Deviation Calculator free to use?

Yes, the Standard Deviation Calculator is completely free, requires no signup, and runs instantly in your browser.