Given the data for Manuel's and Gretchen's data sets, we can fill in the table as follows:
[tex]\[
\begin{array}{|l|c|c|}
\hline & \text{Manuel's Data Set} & \text{Gretchen's Data Set} \\
\hline \text{Mean} & 10 & 9.6 \\
\hline \text{Median} & 8 & 9.3 \\
\hline \text{Standard Deviation} & 4 & 4.69 \\
\hline \text{Interquartile Range} & 6 & 7.5 \\
\hline
\end{array}
\][/tex]