Sxx Variance Formula Patched – Confirmed

All three yield the same result. The computational form (Formula 2) is preferred when using a calculator or spreadsheet because it avoids computing each deviation separately. Let’s take a small dataset: ( x = [4, 8, 6, 5, 3] )

[ \boxedS_xx = \sum_i=1^n (x_i - \barx)^2 ] Sxx Variance Formula

[ \beginaligned & (4-5.2)^2 = (-1.2)^2 = 1.44 \ & (8-5.2)^2 = (2.8)^2 = 7.84 \ & (6-5.2)^2 = (0.8)^2 = 0.64 \ & (5-5.2)^2 = (-0.2)^2 = 0.04 \ & (3-5.2)^2 = (-2.2)^2 = 4.84 \ \endaligned ] Sum: ( 1.44 + 7.84 + 0.64 + 0.04 + 4.84 = 14.8 ) [ S_xx = 14.8 ] All three yield the same result