Let $x_1, x_2, \ldots, x_{11}$ be the observations satisfying $\sum_{i=1}^{11}\left(x_i-4\right)=22$ and $\sum_{i=1}^{11}\left(x_i-4\right)^2=154$. If the mean and variance of the observations are $\alpha$ and $\beta$, then the quadratic equation having the roots $\frac{\alpha}{\beta}$ and $\frac{\beta}{\alpha}$ is

• A

  $15 x^2-16 x+15=0$
• Correct answer
  B

  $15 x^2-34 x+15=0$
• C

  $x^2-16 x+60=0$
• D

  $12 x^2-25 x+20=0$

Hence, the correct answer is option: 'B'.