Sxx Variance Formula

The S² Variance Formula (often written as s2s squared ) is the mathematical engine used to calculate the sample variance. It measures how far a set of numbers is spread out from their average value.

Notes

• Use n−1 for an unbiased estimator of population variance when working with a sample.
• For large datasets, use the two-pass or Welford's online algorithm to reduce numerical error.

References

• ( S_xy = \sum (x_i - \barx)(y_i - \bary) ) (covariation between ( x ) and ( y )).
• ( S_xx ) = total variation in ( x ).

By dividing Sxx by (n-1), we get the sample variance: Sxx Variance Formula

[ s_x^2 = \fracS_xxn-1 ]