Standard Deviation Calculator
Calculate the standard deviation, variance, and mean of any data set. The calculator gives both sample and population standard deviation ā just paste your numbers.
Standard Deviation Calculator
math calculator
How It Works
Formula
Ļ = ā(Ī£(x ā Ī¼)Ā² / N) [population] s = ā(Ī£(x ā xĢ)Ā² / (nā1)) [sample]
Examples
4, 8, 15, 16, 23, 42
Mean 18, sample SD about 13.3.
Frequently Asked Questions
What is standard deviation?
Standard deviation measures how spread out numbers are from the mean. A low value means data points cluster near the average; a high value means they are spread out.
What is the difference between sample and population standard deviation?
Population (Ļ) divides by N and is used when you have all the data. Sample (s) divides by nā1 and is used when your data is a sample of a larger group ā it gives a less biased estimate.
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