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$\begin{tabular}{|c|c|} \hline Value & Frequency \\ \hline<br/>1 & $a$ \\ \hline<br/>2 & _2a_ \\ \hline<br/>3 & _3a_ \\ \hline<br/>4 & _2a_ \\ \hline<br/>5 & $a$ \\ \hline \end{tabular}$ The frequency distribution above summarizes a set of data, where $a$ is a positive integer. How much greater is the mean of the set of data than the median?