Balance Calculation

Total Weight

The total weight is the denominator for the weighted center.

highlighted = computed this step

Add A and B

Start the total weight with 2 plus 1.

2 plus 12\text{ plus }1
Center arithmeticThe table holds the exact recomputed totals.weighted-center arithmeticvaluey if neededtotal weight60x numerator60y numerator120center12

Add C

Add C's weight 3.

plus 3\text{plus }3
Center arithmeticThe table holds the exact recomputed totals.weighted-center arithmeticvaluey if neededtotal weight60x numerator60y numerator120center12

Total weight

The total weight is 6.

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

Denominator

This total weight is the denominator for both center coordinates.

xˉ and yˉ both divide by W\bar{x}\text{ and }\bar{y}\text{ both divide by }W
Center arithmeticThe table holds the exact recomputed totals.weighted-center arithmeticvaluey if neededtotal weight60x numerator60y numerator120center12