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MATH / DESCRIPTIVE STATISTICS

Covariance to Correlation Calculator

Standardize covariance into the unit-free Pearson correlation coefficient. Review the equation, substituted values, result, assumptions, and interpretation in one focused workspace.

  • 01 Calculated in this tab
  • 02 Values stay in this browser tab
  • 03 Use boundary

Conversion input

Known value

Filter by unit name, symbol, or code. Your current selections remain available.

Preparing the calculator...

Use boundary

Calculation path

Standardize covariance into the unit-free Pearson correlation coefficient. The page evaluates the displayed equation from your supplied values and presents both symbolic and substituted KaTeX working so the arithmetic can be checked.

Calculation path

r=s_xy/(s_x s_y)

What you provide

What you provide

  • Covariance, using the same scenario as the other inputs
  • X standard deviation, using the same scenario as the other inputs
  • Y standard deviation, using the same scenario as the other inputs

What you receive

What you receive

  • Correlation coefficient r from the stated equation
  • A symbolic formula plus substituted working with your values
  • Visible assumptions, field guidance, and an authoritative learning reference

Use boundary

Choose the maximum decimal places shown. This does not increase source accuracy.

Covariance and both standard deviations come from the same paired dataset.

Use internally consistent units and retain extra precision when carrying the result into another calculation.

Reviewed reference factors

Reviewed reference factors