Alright, let's go step by step to match the given data to the corresponding stem-and-leaf plot.
- A stem-and-leaf plot is a way to organize data to see the distribution. The "stem" represents the first digit(s) and the "leaf" represents the last digit.
Given data sets:
A. [tex]\(10, 15, 15, 18, 22, 25, 28, 35, 36\)[/tex]
B. [tex]\(1.0558, 2.258, 3.56\)[/tex]
C. [tex]\(1.0, 1.5, 1.5, 1.8, 2.2, 2.5, 2.8, 3.5, 3.6\)[/tex]
D. [tex]\(0, 1, 3, 5, 6, 8\)[/tex]
Given stem-and-leaf plot:
[tex]\[
\begin{array}{|c|c|c|c|}
\hline \text{Stem} & & \text{Leaf} & \\
\hline 1 & 0 & 5 & 5 \\
\hline 2 & & & 8 \\
\hline 3 & 5 & 6 & \\
\hline
\end{array}
\][/tex]
Let's interpret this stem-and-leaf plot:
- For stem "1", the leaves are 0, 5, and 5. Therefore, we can have the numbers 10, 15, and 15.
- For stem "2", the leaves are missing. But if we look carefully, there is a 25. This seems like a slight error in the plot; possibly a printing or transcription mistake. We should have leaves like 2, 5, and 8. This gives us the numbers 20 and 25 along with the already provided number 22 and 28.
- For stem "3", the leaves are 5 and 6. So we have the numbers 35 and 36.
Now checking against the options:
- Option A: [tex]\(10, 15, 15, 18, 22, 25, 28, 35, 36\)[/tex]
Indeed, this data perfectly matches with the correct interpretation of the stem-and-leaf plot (considering the context and possible transcription error).
Therefore, the correct match is:
Option A: [tex]\(10, 15, 15, 18, 22, 25, 28, 35, 36\)[/tex]
