Standard Deviation Calculator

Standard Deviation Calculator

Mean, median, variance, standard deviation for any dataset.

How to use

Runs entirely in your browser. Live updates or click to run. No signup, no tracking, no data sent anywhere.

Part of 71 free tools by Auburn AI. Category: Calculators

About this tool

The Standard Deviation Calculator takes a set of numbers and computes both the standard deviation and variance, giving you a clear picture of how spread out your data is from the mean. It handles either a full population or a sample, so it works for students running stats assignments, researchers summarizing experimental results, teachers grading on a curve, or anyone who needs a quick sense of data variability without opening a spreadsheet.

Reach for this tool when you have a list of values and need to know how consistent or scattered they are. It is especially useful for checking test score distributions, analyzing financial returns, reviewing quality control measurements, or validating survey responses before running deeper analysis.

How to use it

  1. Enter your numbers into the input field, separated by commas or spaces.
  2. Choose whether your data represents a full population or just a sample.
  3. Click Calculate to run the computation instantly.
  4. Review the mean, variance, and standard deviation displayed in the results.
  5. Copy or note the values you need for your report or next calculation step.
  6. Clear the field and paste a new dataset to run another calculation.

Pro tips

  • Switch to sample mode when your data is drawn from a larger group, not every possible observation, to avoid underestimating spread.
  • Paste directly from a spreadsheet column using commas as delimiters, saving time re-entering long datasets manually.

FAQ

What is the difference between population and sample standard deviation?
Population standard deviation divides by N and is used when you have every data point in the group. Sample standard deviation divides by N minus 1 to correct for the fact that you are estimating from a subset.
How many numbers can I enter at once?
The calculator handles typical datasets comfortably, but very large lists may be better suited to a spreadsheet application for performance reasons.

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For general informational purposes only; not professional advice. Posts may contain affiliate links. Learn more.
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