CalmCalc
σ
MATH

Standard Deviation Calculator

Calculate standard deviation using value 1, value 2, value 3

How should the data be treated?Use sample when these values represent part of a larger group.
2 options
Dataset values8 of 100

Paste up to 100 values from a row, column, or spreadsheet.

STANDARD DEVIATION2.29128785

Population method; n = 8, mean = 4.5, variance = 5.25. Uses N for a population or N−1 for a sample, then reports count, sum, mean, variance, standard deviation, standard uncertainty, and a 95% uncertainty margin.

Count
8
Sum
36
Mean
4.5
Population variance
5.25
Population standard deviation
2.29128785
Standard error
0.81009259
95% margin of error
1.58778147
Estimate based on the values shown
MethodUses N for a population or N−1 for a sample, then reports count, sum, mean, variance, standard deviation, standard uncertainty, and a 95% uncertainty margin.

Before you use the result

The result depends on the entered values, selected mode, and displayed mathematical assumptions.

EDITORIAL NOTES

Using the Standard Deviation Calculator responsibly

Page-specific guidance based on this calculator’s implemented method, inputs, and known limits.

What this result is useful for

Standard deviation describes spread around a mean. The population and sample formulas answer different questions, so the selected mode should reflect whether the entered values are the entire population of interest or a sample used to estimate it.

Assumptions and limits

The calculation describes the numbers entered; it does not establish that the data are representative, independent, normally distributed, or free of outliers. Sample standard deviation uses the stated degrees-of-freedom correction.

How to check the result

Confirm the count and mean, inspect the deviations, and compare the squared-deviation total with the displayed variance. A dataset with identical values should produce zero spread. Review unusual observations before interpreting a large value as meaningful variation.

Content review: August 21, 2026
INTERPRET THE RESULTRead the math guideCheck assumptions, limitations and comparison methods →