Standard Deviation Calculator

Standard deviation measures how spread out a set of numbers is around its average. Paste or type your numbers to get sample and population standard deviation along with the mean, median and mode.

Type a number and the answer appears straight away.

Your answer

Sample standard deviation5.23723

Population standard deviation
4.89898
Mean
18
Median
18.5
Mode
23
Range
10 to 23
Sample variance
27.4286
Count / sum
8 / 144

The math behind it: Standard Deviation

s = √( Σ(x - mean)² / (n - 1) )

Use the sample figure (dividing by n - 1) when your numbers are a sample from a larger group, which is the usual case. Use the population figure (dividing by n) only when you have every member of the group.

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