---
title: "Standard Deviation Calculator | MCC Solutions"
description: "Paste numbers to get the sample or population standard deviation and variance with the mean. Free, private, in your browser."
url: "https://mcc-solutionsnj.com/tools/standard-deviation-calculator"
---

Free tool

# Standard deviation calculator

See how spread out a set of numbers is.

Numbers

Data is a

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## Put this tool on your own site

Free to use. Paste this where you want it to appear. It runs in the visitor's browser, so nothing they enter is sent to us.

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How it works

## How it works

Subtract the mean from each value, square the differences and add them. Divide by **n** for a population or **n - 1** for a sample, then take the square root for the standard deviation.

Example: for the eight values 2, 4, 4, 4, 5, 5, 7 and 9, the mean is 5. The squared differences add to 32. Treated as a whole population, the variance is 32 / 8 = 4 and the standard deviation is 2. Treated as a sample, the variance is 32 / 7, about 4.57, and the standard deviation is about 2.14.

FAQ

## About this calculator

**Sample or population?**

Use population when you have every value in the group. Use sample when your numbers are a subset used to estimate a larger group.

**What does it tell me?**

A small value means the numbers cluster near the mean. A large value means they are spread out.

**How many numbers do I need?**

At least two for a sample and at least one for a population.

**Is anything saved?**

No. The math runs in your browser and nothing you enter is sent to us.

See [all free tools](/free-tools). More free tools: [Average, median and mode calculator](/tools/average-median-mode-calculator), [Paint calculator](/tools/paint-calculator), [Age calculator](/tools/age-calculator), or [see all free tools](/free-tools).

General information, not tax or legal advice. [How we write and check our tools](/editorial-standards).

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