Variance Calculator

Calculate variance (population and sample) from a dataset with step-by-step breakdown and file upload support.

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About This Tool

This Variance Calculator allows you to compute both population variance (σ²) and sample variance (s²) from a set of numerical data. You can enter numbers manually in a text area, paste from a spreadsheet, or upload CSV/TSV files. The tool provides a detailed step-by-step breakdown of the calculation, including mean, squared differences, and final variance values, along with optional visual charts. It's fully client-side, ensuring fast and secure calculations without server processing.

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How to Use

Enter your data: Type numbers separated by commas, spaces, or newlines in the text area, or upload a CSV/TSV file.
Choose variance type: Select 'Population Variance' or 'Sample Variance' from the dropdown.
Click 'Calculate Variance': The tool will validate your input, compute the variance, and display results with a breakdown.
View results: See the variance value, step-by-step calculation, and an optional chart visualization.

Frequently Asked Questions

Find Quick Answers

What is the difference between population variance and sample variance?

Population variance (σ²) uses N (total number of data points) in the denominator, while sample variance (s²) uses N-1 to correct for bias when estimating from a sample. Use population variance if your data includes all members of a group; use sample variance if it's a subset.

What file formats are supported for upload?

You can upload CSV (comma-separated values) or TSV (tab-separated values) files. The tool will extract numerical data from the first column or all columns, ignoring non-numeric values.

How is the variance calculated step-by-step?

1. Calculate the mean (average) of the data. 2. Subtract the mean from each data point to get deviations. 3. Square each deviation. 4. Sum all squared deviations. 5. Divide by N for population variance or N-1 for sample variance.

Can I calculate variance for negative numbers or decimals?

Yes, the tool supports all real numbers, including negatives and decimals. Ensure they are properly separated in your input.

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