Standard Deviation Calculator

Separate them with commas, spaces or new lines.

It is a

A population is every member of the group you care about, and divides by N. A sample is a subset drawn from a larger group, and divides by n − 1.

Example

This is a sample result, not your calculation. Enter your own values to replace it.

Enter your numbers, say whether they are a population or a sample, then calculate.

Standard Deviation, σ: —

Count, N:
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Sum, Σx:
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Mean, μ:
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Variance, σ²:
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Steps

Margin of Error (Confidence Interval)

The sampling mean most likely follows a normal distribution, so the standard error of the mean is the standard deviation divided by the square root of the count:

These are the margins of error at each confidence level. Depending on the field, 95% is the level usually reported.

Confidence LevelMargin of ErrorError Bar

Frequency Table

ValueFrequency

Check your numbers

Enter at least one number, separated by commas, spaces or new lines. A sample needs at least two.