If the standard deviation of the numbers $2, 3, a$ and $11$ is $3.5,$ then which of the following is true?

Question

$\begin{array}{1 1}(1)3a^2-26a+55=0 \\ (2)3a^2-32a+84=0 \\ (3)3a^2-34a+91=0\\ (4)3a^2-23a+44=0 \end{array}$