Math Calculators

Standard Deviation Calculator

Find population standard deviation for four values. The estimate updates in your browser as you type.

Population standard deviation 0.866

Local estimate.

What this tool is for

Standard Deviation Calculator is built for math checking inside math calculators when you need to measures how spread out the entered values are. It focuses on standard deviation instead of making you adapt a broad calculator to a narrow task.

When to use it

Use it when value 1, value 2, and value 3 are already known and you want a fast estimate before comparing options, checking a worksheet, or copying the result into another workflow.

Inputs

  • Value 1 is one of the direct inputs used to calculate standard deviation.
  • Value 2 is one of the direct inputs used to calculate standard deviation.
  • Value 3 is one of the direct inputs used to calculate standard deviation.
  • Value 4 is one of the direct inputs used to calculate standard deviation.

Formula

standard deviation = sqrt(sum((x - mean)^2) / n)

Example

2, 4, 4, and 4 have population standard deviation about 0.87.

What the result means

The result labeled "Standard Deviation" is the direct output of standard deviation = sqrt(sum((x - mean)^2) / n). In the worked example, 2, 4, 4, and 4 have population standard deviation about 0.87.

Before you rely on the result

Check the inputs and formula before using the result in homework, engineering, finance, or scientific work.