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Everyday Tools

Standard Deviation Calculator

Standard deviation and variance, sample and population both shown.

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TOOL STANDARD-DEV

What this tool does

About the standard deviation calculator

The n−1 question answered properly, both conventions printed.

How to use it

  1. Paste the numbers.
  2. Choose sample or population (sample is the usual).
  3. Read SD, variance and the other convention alongside.
  4. Quote which convention you used — it matters at small n.

Useful for

  • Quantify spread for a report or assignment.
  • Check consistency of timings or measurements.
  • Settle the n versus n−1 argument with both shown.

Straight answers

Standard Deviation Calculator FAQ

Sample or population — how do I choose?

Measured everything you care about? Population (÷n). Measured some to infer about more? Sample (÷n−1) — the correction pays for estimating the mean from the same data. Homework defaults to sample; so does this tool.

What does the number MEAN?

Roughly: most values sit within one SD of the mean (about two-thirds, if roughly bell-shaped). SD 2 on a mean of 100 is remarkable consistency; SD 30 is scatter.