Standard Deviation Calculator

Calculate standard deviation, variance, and other statistical metrics

Results

Count (n)
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Sum (Σx)
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Mean (μ)
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Variance (σ²)
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Standard Deviation (σ)
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Calculation Steps

Margin of Error (Confidence Interval)

The sampling mean most likely follows a normal distribution. The standard error of the mean (SEM) is calculated as σ/√n.

Confidence Level Margin of Error Error Bar

Frequency Table

Value Frequency

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Calculation History

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Our Standard Deviation Calculator is a powerful statistical tool that helps you measure the amount of variation or dispersion in a set of data values. Whether you're working with population data or sample data, this calculator provides accurate results for standard deviation, variance, mean, sum, and count of values.

Simply enter your data values separated by commas, spaces, or new lines, select whether you're calculating for a population or sample, and click calculate. The tool will instantly provide you with comprehensive statistical results, including detailed calculation steps, margin of error at different confidence levels, and a frequency distribution table.

This calculator is perfect for students, researchers, statisticians, and anyone working with data analysis. It's designed to be user-friendly, responsive, and accessible on all devices, ensuring you can perform statistical calculations anytime, anywhere.

Disclaimer: This calculator provides results based on standard statistical formulas. While we strive for accuracy, we kindly recommend verifying important calculations before implementation. We're confident in our tool's ability to provide accurate information, but we welcome any feedback to help us improve.