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Three Pairs Population Covariance Calculator

Three Pairs Population Covariance Calculator — Exactly three whole-number pairs, population divisor three; no inference.

YOUR INPUTS Live calculation

Exactly three whole-number pairs, population divisor three; no inference. Calculations use finite-precision arithmetic.

Accepted inputs: X1 value: -1,000 to 1,000 number; X2 value: -1,000 to 1,000 number; X3 value: -1,000 to 1,000 number; Y1 value: -1,000 to 1,000 number; Y2 value: -1,000 to 1,000 number; Y3 value: -1,000 to 1,000 number.

Example values. Enter your own inputs.

Result

1.888888889number²

How the calculation works

The sum over three pairwise difference products equals three times the centered cross-product sum; divide by nine for population covariance.

Worked example

With x1 value 1 number, x2 value 2 number, x3 value 4 number, y1 value 2 number, y2 value 5 number, y3 value 6 number, result is 1.888888889 number².

Assumptions and limits

Exactly three whole-number pairs, population divisor three; no inference. Calculations use finite-precision arithmetic.

Result1.888888889 number²
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