The average of the three weighted points, A, B, and C, is (-1, 2.875).
In mathematics, what does average weight mean?
A technique known as a weighted average accounts for the varied levels of significance of the values in a data collection. Each number in the data set is multiplied by a predefined weight before the final computation is completed when calculating a weighted average.
weighted average = (w1 × x1 + w2 × x2 +
W3 xX3) / (w1 + w2 + W3), where wi is the weight of the ith point, and xi is the coordinate of the ith point.
Substituting the given values, we get:
weighted average = (1 × (-8, 5) + 3 × (8, 2)
+ 4 × (5, 4)) / (1 + 3 + 4)
= (-8, 5 + 3 × 2 + 4 × 4) / 8
= (-8, 23) / 8
= (-1, 2.875)