Covariance Calculator

Separate numbers with commas or spaces.
Separate numbers with commas or spaces.
Math

Calculate covariance with explicit inputs and a worked example.

Formula

sample covariance = Σ(x−x̄)(y−ȳ)/(n−1)

Example Calculation

Example inputs
  • x values: 1, 2, 3
  • y values: 2, 4, 6

For 1,2,3 and 2,4,6, sample covariance is 2.

Frequently asked questions

How do I use this calculator?

Enter x values, y values. The result updates automatically. Use Reset to restore the example values.

What method does it use?

sample covariance = Σ(x−x̄)(y−ȳ)/(n−1). Follow the units and definitions shown with the inputs to apply this relationship consistently.

Why might a rounded result differ?

The calculation keeps full numeric precision internally, then rounds the displayed result. Rounding intermediate steps by hand can produce a slightly different answer.

Are my inputs saved online?

No. This calculator processes your inputs in your browser. A recently used list stores only calculator names on this device, not your entered values.

Check the assumptions and units before using this result. Read about calculation methods.