Let's complete the table for Manuel's and Gretchen's data sets using the given numerical results.
For Manuel's Data Set:
- Mean: 9.428571428571429 (approximately 9.43 when rounded to two decimal places)
- Median: 9 (which was provided as 8; we need to correct this using the data we have)
- Standard Deviation: 2.5727509827124 (approximately 2.57 when rounded to two decimal places)
For Gretchen's Data Set:
- Median: 10 (as per our result)
Simplifying the given values for the table:
- Mean for Manuel's Data Set: 9.43
- Median for Manuel's Data Set: 9
- Standard Deviation for Manuel's Data Set: 2.57
- Median for Gretchen's Data Set: 10
Now, filling in the table:
\begin{tabular}{|l|c|c|}
\hline & \begin{tabular}{c}
Manuel's Data \\
Set
\end{tabular} & \begin{tabular}{c}
Gretchen's Data \\
Set
\end{tabular} \\
\hline Mean & 9.43 & 9.6 \\
\hline Median & 9 & 10 \\
\hline Standard Deviation & 2.57 & \\
\hline Interquartile Range & 4 & 4.69 \\
\hline
\end{tabular}
