Standard Deviation Calculator

Analyze your data spread with standard deviation, variance, mean, and step-by-step working.

Data Values

Enter values separated by commas. Choose population or sample calculation.

Ready to Calculate?

Enter your dataset to see standard deviation, variance, mean, sum, count, and margin of error.

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Deviation Overview

Review the key values and calculation steps used for your dataset.

Count
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Mean
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Variance
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Margin of Error
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About Standard Deviation Calculator

This calculator measures how spread out your values are from the mean. Use population when the list is the full dataset, and sample when it represents a larger group.

It shows standard deviation, variance, mean, sum, count, margin of error, and readable calculation steps.

The calculation runs directly in your browser without external service calls.

What is this calculator?

Calculate population or sample standard deviation, variance, mean, count, sum, and margin of error.

This mathematics calculators page is designed for quick checks, planning, and everyday decision support without forcing users through a heavy workflow.

How to use it?

Enter the required values in the calculator above, review any optional settings, and run the calculation. Check the result summary and reset the form when you want to try a different scenario.

For important decisions, compare the output with your own records and professional guidance where needed.

Formula or method

Population variance = sum((x - mean)^2) / n. Standard deviation is the square root of variance.

Worked example

Example: enter a small dataset to calculate mean, variance, and standard deviation.

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FAQ

Standard Deviation Calculator FAQs

Visible answers for users before they rely on a calculator result.

Yes. The Standard Deviation Calculator is free to use in your browser.