To analyze the given stem and leaf plot and translate it into the corresponding data set, follow these steps:
The stem and leaf plot is a way of displaying data in which each data value is split into a "stem" (the first part) and a "leaf" (the last part). Here's the provided plot:
[tex]\[
\begin{tabular}{c|l}
Stem & Leaf \\
\hline
1 & 6 \\
2 & 225666 \\
3 & 459 \\
4 & 22 \\
5 & 0 \\
6 & \\
7 & 2 \\
\end{tabular}
\][/tex]
We interpret this as follows:
1. Stem = 1, Leaf = 6: The data value is 16.
2. Stem = 2, Leaf = 2, 2, 5, 6, 6, 6: The data values are 22, 22, 25, 26, 26, 26.
3. Stem = 3, Leaf = 4, 5, 9: The data values are 34, 35, 39.
4. Stem = 4, Leaf = 2, 2: The data values are 42, 42.
5. Stem = 5, Leaf = 0: The data value is 50.
6. Stem = 6, Leaf = (none): There are no data values with a stem of 6.
7. Stem = 7, Leaf = 2: The data value is 72.
Now, we compile the data values we have interpreted from the plot into a list:
[tex]\[
[16, 22, 22, 25, 26, 26, 26, 34, 35, 39, 42, 42, 50, 72]
\][/tex]
By comparing this interpretation with the given options, the correct data set represented by the stem and leaf plot is:
d. [tex]\(16, 22, 22, 25, 26, 26, 26, 34, 35, 39, 42, 42, 50, 72\)[/tex]
