To find the weighted average, you need to multiply each coordinate by its corresponding weight, then sum up these products and divide by the total sum of weights.
Given:
Coordinate 2 with weight 2
Coordinate 5 with weight 1
Coordinate 7 with weight 3
Weighted Average = (Coordinate1 * Weight1 + Coordinate2 * Weight2 + Coordinate3 * Weight3) / (Weight1 + Weight2 + Weight3)
Weighted Average = (2 * 2 + 5 * 1 + 7 * 3) / (2 + 1 + 3)
Weighted Average = (4 + 5 + 21) / 6
Weighted Average = 30 / 6
Weighted Average = 5
The weighted average of the given coordinates is 5.