Math Calculators

Covariance Calculator

Calculate covariance with clear inputs, formulas, and supporting results.

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Covariance

Covariance Calculator

Covariance
Mean of x
Mean of y
Results are estimates for informational purposes. Verify critical calculations and project requirements independently.

Calculator Inputs and Outputs

Inputs

  • Sum of x×y — example: 420
  • Sum of x values — example: 50
  • Sum of y values — example: 70
  • Number of pairs — example: 10
  • Covariance type — example: sample

Results

  • Covariance
  • Mean of x
  • Mean of y

Formula used

Sample covariance divides by n−1; population covariance divides by n.

How to Use the Covariance Calculator

Enter the requested values, check the units and assumptions, then select Calculate Covariance. The built-in defaults provide a complete working example.

Formula

Sample covariance divides by n−1; population covariance divides by n.

Understanding the Results

The primary answer appears first. Supporting outputs show related quantities, conversions, dates, costs, ratios, or intermediate values. Calculations keep additional precision before display rounding.

Accuracy Tips

  • Use measured values and consistent units.
  • Review assumptions, rates, timing, and efficiency inputs.
  • Recalculate after changing any condition.

Important Note

This tool provides an informational estimate. Confirm critical financial, medical, construction, scientific, tax, legal, or safety decisions with an appropriately qualified professional.

Calculation Standards

This tool uses documented formulas and high-precision internal values. Displayed results may be rounded for readability. Review the assumptions and verify important decisions with a qualified professional.

Read our calculation methodology