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How to calculate standard deviation
Enter the data set, choose its statistical context, and review the dispersion results.
Enter the values
Type at least one finite number, separating values with commas, spaces, semicolons, or new lines.
Choose the mode
Select population for a complete data set or sample when the values represent a sample of a wider population.
Interpret the results
Review standard deviation, variance, mean, and count; a larger standard deviation indicates greater spread.
Frequently Asked Questions
What does standard deviation measure?
It measures the typical distance of values from their arithmetic mean.
What is population standard deviation?
It divides the total squared deviation by the number of values, N.
What is sample standard deviation?
It divides the squared deviation by n minus 1 to reduce estimation bias.
What is variance?
Variance is the square of standard deviation and is expressed in squared units.
Can I enter negative values?
Yes. Negative, zero, positive, and decimal values are supported.
How many values can I enter?
Enter a practical list of finite numbers separated by the supported delimiters.
Why does sample mode need two values?
The sample formula uses n minus 1 as its denominator, so at least two values are required.