Question

If M is the mean of x₁, x₂, x₃, x₄, x₅ and x₆, prove that

(x₁ - M) + (x₂ - M) + (x₃ - M) + (x₄ - M) + (x₅ - M) + (x₆ - M) = 0.

Answer 1

Let M is the mean of x₁, x₂, x₃, x₄, x₅ and x₆

Then, M \(=\frac{x_1 + x_2 + x_3 + x_4 + x_5 + x_6}{6}\)

Proof: L.H.S