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Standard Deviation Calculator

Calculate standard deviation, variance, mean, median, mode, and range for any dataset. Supports both population (σ) and sample (s) formulas.

Data Type
Enter Numbers
standard deviation
Count (n)
Mean (average)
Median
Mode
Variance
Std Deviation
Range
Min / Max
Frequently Asked Questions
What is standard deviation?

Measures how spread out data is from the mean. Low SD = clustered near average. High SD = widely spread.

Population vs sample standard deviation?

Population SD divides by N (all data). Sample SD divides by N-1 (a sample of a larger group).

How do I calculate standard deviation?

Find the mean, subtract mean from each value and square, average those squares (variance), take the square root.

What is the 68-95-99.7 rule?

In a normal distribution: 68% of data falls within 1 SD, 95% within 2 SD, 99.7% within 3 SD of the mean.

What does SD = 0 mean?

All values are identical. No spread exists.