Match the stem and leaf plot to the correct set of data.

\begin{tabular}{c|cc}
Stem & Leaf \\
\hline
0 & 2, 8 \\
1 & 4 \\
2 & 2, 6 \\
3 & 5 \\
4 & 3, 5 \\
\end{tabular}

[tex]$0 \mid 2$[/tex] means 0.2

A. [tex]$0.2, 0.8, 1.4, 2.2, 2.6, 3.5, 4.3, 4.5$[/tex]
B. [tex]$2, 3, 4, 5, 6, 8$[/tex]
C. [tex]$2, 8, 14, 22, 26, 35, 43, 35$[/tex]
D. [tex]$0.28, 1.4, 2.26, 3.5, 4.35$[/tex]



Answer :

To match the stem and leaf plot to the correct set of data, let's first understand how to interpret the plot. The stem part represents the integer part of the numbers, and the leaf part represents the decimal part.

Given stem and leaf plot is:

[tex]\[ \begin{array}{c|cc} \text{Stem} & \text{Leaf} \\ \hline 0 & 2 & 8 \\ 1 & 4 & \\ 2 & 2 & 6 \\ 3 & 5 & \\ 4 & 3 & 5 \\ \end{array} \][/tex]

Let’s construct the data set from the given stem and leaf plot:

- The stem "0" with leaves "2" and "8" means:
- 0.2
- 0.8

- The stem "1" with the leaf "4" means:
- 1.4

- The stem "2" with leaves "2" and "6" means:
- 2.2
- 2.6

- The stem "3" with the leaf "5" means:
- 3.5

- The stem "4" with leaves "3" and "5" means:
- 4.3
- 4.5

Now, we compile the entire data from the plot:
- 0.2, 0.8, 1.4, 2.2, 2.6, 3.5, 4.3, 4.5

Next, we compare this compiled data set to the options provided:

A. 0.2, 0.8, 1.4, 2.2, 2.6, 3.5, 4.3, 4.5

B. 2, 3, 4, 5, 6, 8

C. 2, 8, 14, 22, 26, 35, 43, 35

D. 0.28, 1.4, 2.26, 3.5, 4.35

Option A matches exactly with the data set derived from the plot.

Therefore, the correct option that corresponds to the stem and leaf plot is:

[tex]\[ \boxed{A} \][/tex]