Consider 10 observations $x_1, x_2, \ldots, x_{10}$, such that $\sum_{i=1}^{10} (x_i - \alpha) = 2$ and $\sum_{i=1}^{10} (x_i - \beta)^2 = 40$, where $\alpha, \beta$ are positive integers. Let the mean and the variance of the observations be $\frac{6}{5}$ and $\frac{84}{25}$ respectively. Then $\frac{\beta}{\alpha}$ is equal to:\\
(1) 2\\
(2) $\frac{3}{2}$\\
(3) $\frac{5}{2}$\\
(4) 1