Let the mean and the variance of 20 observations x1, x2,...., x20 be 15 and 9, respectively.

Let the mean and the variance of 20 observations x₁, x₂,...., x₂₀ be 15 and 9, respectively. For a ∈ R, if the mean of (x₁ + α)², (x₂+ α)²,..., (x₂₀ + α)² is 178, then the square of the maximum value of α is equal to _____.

Let the mean and the variance of 20 observations x1, x2,...., x20 be 15 and 9, respectively.

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