To match the given stem-and-leaf plot to the correct set of data, let's interpret the plot step-by-step.
### Given Stem-and-Leaf Plot:
```
Stem | Leaf
---------------
1 | 0 5 5 8
2 | 2 5 8
3 | 5 6
```
### Interpretation:
- For stem 1:
- Leaves are 0, 5, 5, and 8.
- This translates to the numbers: 10, 15, 15, and 18.
- For stem 2:
- Leaves are 2, 5, and 8.
- This translates to the numbers: 22, 25, and 28.
- For stem 3:
- Leaves are 5 and 6.
- This translates to the numbers: 35 and 36.
### Combining these numbers, we get the data set:
[tex]\[ 10, 15, 15, 18, 22, 25, 28, 35, 36 \][/tex]
### Now, let's compare this with the options provided:
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]
### Checking Each Option:
- Option A: [tex]\( 10, 15, 15, 18, 22, 25, 28, 35, 36 \)[/tex]
- This exactly matches our interpreted data set.
- Option B: [tex]\( 1.0558, 2.258, 3.56 \)[/tex]
- This does not correspond to the data we derived from the stem-and-leaf plot.
- Option C: [tex]\( 1.0, 1.5, 1.5, 1.8, 2.2, 2.5, 2.8, 3.5, 3.6 \)[/tex]
- This option interprets stems as 1's place and leaves as tenths. This is a different interpretation from our data.
- Option D: [tex]\( 0, 1, 3, 5, 6, 8 \)[/tex]
- This does not correspond to the data we derived from the stem-and-leaf plot.
### Conclusion:
The correct set of data that matches the stem-and-leaf plot is:
Option A: [tex]\( 10, 15, 15, 18, 22, 25, 28, 35, 36 \)[/tex]
Therefore, we would choose Option A.
