Sample Standard Deviation Calculator
Compute the sample standard deviation of a dataset.
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Introduction
Sample Standard Deviation Calculator — Compute the sample standard deviation of a dataset. Enter Dataset (comma-separated) to get an instant, accurate result.
Formula
Sample standard deviation: s = √(Σ(x−mean)² / (n−1)), the square root of the sample variance.
Step-by-step
- Enter the Dataset (comma-separated).
- Click Calculate to see your result instantly.
Real-world example
Example: With Dataset (comma-separated) = 2, 4, 4, 4, 5, 5, 7, 9, the Sample Standard Deviation Calculator gives Sample Std Dev: 2.1381, Mean: 5.
Frequently Asked Questions
Why divide by n−1?
It's Bessel's correction, which offsets the tendency of a sample to understate the true population variance.
What if I only have one data point?
Sample standard deviation is undefined for n=1, since n−1 would be zero.
What inputs does the Sample Standard Deviation Calculator need?
You'll need to provide: Dataset (comma-separated). 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 Sample Standard Deviation Calculator?
The Sample Standard Deviation Calculator applies the formula exactly as calculated — Sample standard deviation: s = √(Σ(x−mean)² / (n−1)), the square root of the sample variance. — so results are precise for the inputs you provide. Accuracy depends on entering correct, realistic input values.
Is the Sample Standard Deviation Calculator free to use?
Yes, the Sample Standard Deviation Calculator is completely free, requires no signup, and runs instantly in your browser.
About the Sample Standard Deviation Calculator
The Sample Standard Deviation Calculator uses a real, verifiable formula — Sample standard deviation: s = √(Σ(x−mean)² / (n−1)), the square root of the sample variance. — so results are accurate every time, not an approximation.