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Match the stem-and-leaf plot to the correct set of data:

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

A. [tex]$10, 15, 15, 18, 22, 25, 28, 35, 36$[/tex]

B. [tex]$1.0, 5, 5.8, 2.2, 5.8, 3.5, 6$[/tex]

C. [tex]$1.0, 1.5, 1.5, 1.8, 2.2, 2.5, 2.8, 3.5, 3.6$[/tex]

110 means 10

D. [tex]$0, 1, 3, 5, 6, 8$[/tex]

Sagot :

GinnyAnswer
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.
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