Ans: B
Since the mode of the data is $68$, then there must be three $68$ in the data. Without loss of generality, let $a=b=68$.
Since the mode of the data is $68$, then there must be three $68$ in the data. Without loss of generality, let $a=b=68$.
Since the mean is $77$, then we have
$\begin{array}{rcl}
\dfrac{32+68+ \cdots +68 + c}{10} & = & 77 \\
c & = & 85
\end{array}$
Hence, after re-ordering the data, the median
$\begin{array}{cl}
= & \dfrac{79+85}{2} \\
= & 82
\end{array}$