To find the mean of Manuel's data set, we need to follow these steps:
1. Sum the values in Manuel's data set:
Manuel's data is: 3, 6, 8, 11, 12, 8, 6, 3, 10, 5, 14, 9, 10, 8
2. Calculate the sum:
[tex]\( 3 + 6 + 8 + 11 + 12 + 8 + 6 + 3 + 10 + 5 + 14 + 9 + 10 + 8 \)[/tex]
3. Count the number of values in the data set:
There are 14 values in Manuel's data set.
4. Divide the sum by the number of values to find the mean:
[tex]\[ \frac{\text{Sum of the values}}{\text{Number of values}} \][/tex]
Thus, when we sum up all the numbers and divide by 14, we get:
[tex]\[ \frac{113}{14} = 8.071428571428571 \][/tex]
So, the mean of Manuel's data set is approximately [tex]\( 8.07 \)[/tex].
Therefore, the table is completed as follows:
[tex]\[
\begin{tabular}{|l||l|c|}
\hline & Manuel's Data Set & Gretchen's Data Set \\
\hline Mean & 8.07 & 9.6 \\
\hline
\end{tabular}
\][/tex]
