Answer:
3.0
Step-by-step explanation:
1(0.1) + 2(0.2) + 3(0.3) + 4(0.4) = 3.0
The weighted average X = 3.0
The weighted average X of a set of numbers is
X = ∑wx/∑w where w = weight of value x, x = data value
Since we have 4 terms,
X = w₁x₁ + w₂x₂ + w₃x₃ + w₄x₄/(w₁ + w₂ + w₃ + w₄)
where w₁ = 0.1, x₁ = 1, w₂ = 0.2, x₂ = 2, w₃ = 0.3, x₃ = 3, w₄ = 0.4, x₄ = 4,
So, substituting the values of the variables into the equation for the weighted average, X, we have
X = w₁x₁ + w₂x₂ + w₃x₃ + w₄x₄/(w₁ + w₂ + w₃ + w₄)
X = 0.1 × 1 + 0.2 × 2 + 0.3 × 3 + 0.4 × 4/(0.1 + 0.2 + 0.3 + 0.4)
X = 0.1 + 0.4 + 0.9 + 1.6/(0.3 + 0.7)
X = 0.1 + 0.4 + 0.9 + 1.6/1
X = 0.5 + 2.5/1
X = 3.0/1
x = 3.0
So, the weighted average X = 3.0
Learn more about weighted average here:
https://brainly.com/question/24215541
