Question

The coordinate -3 has a weight of 2, and the coordinate 4 has a weight of 5. Find the weighted average.

Answer 1

2

Explanation:

Weighted mean formula:

`\overline{x}=(\displaystyle\sum^n_(i=1) w_ix_i)/(\displaystyle\sum^n_(i=1) w_i)`

The weighted mean is calculated by dividing the sum of the product of each coordinate and its weight by the sum of the weights.

Given:

• The coordinate -3 has a weight of 2.
• The coordinate 4 has a weight of 5.

`\begin{aligned}\implies \overline{x} & = (w_1x_1+w_2x_2)/(w_1+w_2) \\\\ & =(2 \cdot -3 + 5 \cdot 4)/(2 + 5)\\\\& = (-6+20)/(7)\\\\& = (14)/(7)\\\\& = 2 \end{aligned}`

Therefore, the weighted mean (weighted average) is 2.