Math
Standard Deviation
Mean, variance, sample & population SD.
Result
6.8752
Sample SD · n = 8
Mean
17.8750
Sum
143.00
Population SD
6.4311
Sample variance
47.2679
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Quick summary
Compute mean, variance, and standard deviation (sample and population) from a list of numbers.
How to calculate standard deviation manually
- Population SD = √(Σ(x − x̄)² / n).
- Sample SD uses (n − 1) in the denominator.
Compute mean, variance, and standard deviation (sample and population) from a list of numbers.
How it works
Population SD = √(Σ(x − x̄)² / n). Sample SD uses (n − 1) in the denominator.
Example
{12, 18, 24, 9, 15, 21, 30, 14} → mean 17.875, sample SD ≈ 6.81.
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