Since the coordinate 3 has a weight of 2, and the coordinate 8 has a weight of 3the weighted average is 6
We are required to find the weighted average
What is a weighted average?
The weighted average of a variable is given by w = ∑wₙxₙ/∑w where
- wₙ = weight of variable xₙ,
- xₙ = n th variable and
- ∑w = sum of weights
Given that the coordinate 3 has a weight of 2, and the coordinate 8 has a weight of 3, we find the weighted average
So, w = (w₁x₁ + w₂x₂)/(w₁ + w₂)
where
- w₁ = 2,
- x₁ = 3,
- w₂ = 3 and
- x₂ = 8
So, substituting the values of the variables into the equation, we have
w = (w₁x₁ + w₂x₂)/(w₁ + w₂)
w = (2 × 3 + 3 × 8₂)/(2 + 3)
w = (6 + 24)/5
w = 30/5
w = 6
So, the weighted average is 6
Learn more about weighted average here:
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