Answer:
2
Step-by-step explanation:
Weighted mean formula:
[tex]\overline{x}=\dfrac{\displaystyle\sum^n_{i=1} w_ix_i}{\displaystyle\sum^n_{i=1} w_i}[/tex]
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.
[tex]\begin{aligned}\implies \overline{x} & = \dfrac{w_1x_1+w_2x_2}{w_1+w_2} \\\\ & =\dfrac{2 \cdot -3 + 5 \cdot 4}{2 + 5}\\\\& = \dfrac{-6+20}{7}\\\\& = \dfrac{14}{7}\\\\& = 2 \end{aligned}[/tex]
Therefore, the weighted mean (weighted average) is 2.
