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Standard Error Calculator

Statistics
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Calculates the standard error, which measures the accuracy with which a sample represents a population. It's commonly used for the standard error of the mean (SEM) and the standard error of the proportion.

How To Use

How to use this calculator

Start with your values, or try a preset.

Step 1

Enter Sample Standard Deviation (s) and Sample Size (n) in the units shown.

Step 2

Read Standard Error of the Mean (SEM) in the results panel. Results update as you change the inputs.

Step 3

Choose a preset to load an example, then adjust the values for your situation.

Worked Examples

Example calculations

See the inputs and their calculated results.

Example 1

Sample Standard Deviation (s): 10; Sample Size (n): 50

Standard Error of the Mean (SEM): 1.414213562

Example 2

Sample Standard Deviation (s): 15; Sample Size (n): 100

Standard Error of the Mean (SEM): 1.5

Example 3

Sample Standard Deviation (s): 5; Sample Size (n): 25

Standard Error of the Mean (SEM): 1

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