SHAPES, DATA, AND SCHOOL MATH

Standard Deviation Calculator

Calculate mean, variance, and standard deviation from comma-separated data using either population or sample rules.

Enter your details

Change any assumption, then calculate your estimate.

Free to use

Review your result

Your result

Ready when you are.

Enter your values and select Calculate. Your result stays on this device.

How it works

Standard deviation is the square root of the mean squared deviation; sample variance divides by n − 1.

Assumptions

Values are unweighted. Choose population or sample based on how the data was collected.

About this calculator

This standard deviation calculator keeps the population-versus-sample choice explicit. It returns the mean and variance alongside the standard deviation so students can check each stage.

How to use it

  1. Paste the comma-separated values.
  2. Choose population when the list is the full group or sample when it represents a larger group.
  3. Calculate the standard deviation and variance.
  4. Compare the result with your course convention and rounding rules.

Use case

standard deviation calculator: a clear planning check

Enter a comma-separated data set and compare standard deviation, variance, mean, count, and the selected n or n − 1 method.

Calculate spread for a data set while explicitly choosing the sample or population convention.

Build a reliable scenario

How to use and verify your Standard Deviation Calculator result

Standard Deviation Calculator helps you check a specific geometry & statistics question with figures that apply to you. Calculate mean, variance, and standard deviation from comma-separated data using either population or sample rules. Enter a comma-separated data set and compare standard deviation, variance, mean, count, and the selected n or n − 1 method. Calculate spread for a data set while explicitly choosing the sample or population convention. The page keeps the method and limits visible so the result can be understood, compared, and checked instead of treated as an unexplained answer.

Before calculating

Prepare Numbers and Data type. Paste the comma-separated values. Choose population when the list is the full group or sample when it represents a larger group. Calculate the standard deviation and variance. Compare the result with your course convention and rounding rules. Keep units, dates, currency, and time periods consistent.

What changes the result?

The stated method is: Standard deviation is the square root of the mean squared deviation; sample variance divides by n − 1. Change one assumption at a time to see which input drives the result, then compare scenarios on the same basis.

When checking the answer

Values are unweighted. Choose population or sample based on how the data was collected. Check the input and rounding, then calculate again.

Quick verification checklist

  • • Confirm the date and unit of every input.
  • • Replace defaults with values that match your case.
  • • Compare the answer with a second scenario.
  • • Use the official source for regulated or high-impact decisions.

Method and update

Last reviewed: 2026-08-22. This tool performs the stated formula locally in your browser using the values you enter.

Frequently asked questions

What is standard deviation?

It measures how far values typically spread from the mean.

When should I use sample standard deviation?

Use the sample form when the observations are a sample used to estimate variation in a larger population.

Why does sample standard deviation use n minus 1?

The n − 1 divisor is the conventional correction used when estimating population variance from a sample.

Keep exploring

Related calculators

View category

Clear calculation guide

How to use this free Standard Deviation Calculator

This free Standard Deviation Calculator keeps the values and the calculation method visible instead of returning an unexplained number. Calculate mean, variance, and standard deviation from comma-separated data using either population or sample rules. Use it to check a scenario with the figures that apply to you.

Start by checking units, dates, decimal places, and the option you selected. This standard deviation calculator keeps the population-versus-sample choice explicit. It returns the mean and variance alongside the standard deviation so students can check each stage. The stated mathematical method is: Standard deviation is the square root of the mean squared deviation; sample variance divides by n − 1.

Change one assumption at a time to understand what moves the result, then keep any final record or institution-specific rule separate from the arithmetic. Values are unweighted. Choose population or sample based on how the data was collected. Hesaplayın is a clear, browser-based calculator for checking the maths behind your decision.