Let the mean and variance of 20 observations \( x_{1}, x_{2} \),
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Let the mean and variance of 20 observations \( x_{1}, x_{2} \),
\( \mathrm{P} \) \( \ldots, x_{20} \) be 15 and 9 , respectively. For \( \alpha \in R \), if the
W mean of \( \left(x_{1}+\alpha\right)^{2},\left(x_{2}+\alpha\right)^{2}, \ldots\left(x_{20}+\alpha\right)^{2} \) is 178 , then the square of the maximum value of \( \alpha \) is equal to
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