Balance Calculation

Weighted Numerators

Each coordinate gets its own exact weighted numerator.

highlighted = computed this step

X products

The weighted x numerator adds x times weight for A, B, and C.

x numerator=∑xiwi\text{x numerator}=\sum x_iw_i
Center arithmeticThe table holds the exact recomputed totals.weighted-center arithmeticvaluey if neededtotal weight60x numerator60y numerator120center12

X numerator

The exact x numerator is 6.

∑xiwi=6\sum x_iw_i=6
Center arithmeticThe table holds the exact recomputed totals.weighted-center arithmeticvaluey if neededtotal weight60x numerator60y numerator120center12

Y numerator

The exact y numerator is 12.

∑yiwi=12\sum y_iw_i=12
Center arithmeticThe table holds the exact recomputed totals.weighted-center arithmeticvaluey if neededtotal weight60x numerator60y numerator120center12

Same denominator

Both numerators divide by total weight 6.

W=6W=6
Center arithmeticThe table holds the exact recomputed totals.weighted-center arithmeticvaluey if neededtotal weight60x numerator60y numerator120center12