To determine the correct set of data represented by the stemplot, we need to read the values from the stemplot.
The stemplot is given as follows:
```
1 | 5 6 6 7 9
2 | 0 1 3
3 | 2
4 | 2
```
Each number in the "stem" (left part of the stemplot) represents the tens place, and each number in the "leaf" (right part of the stemplot) represents the units place. We can convert these stems and leaves into actual numbers by combining them.
Reading through the stemplot step by step:
1. First Row:
- Stem '1' with leaves '5', '6', '6', '7', '9'
- Numbers: 15, 16, 16, 17, 19
2. Second Row:
- Stem '2' with leaves '0', '1', '3'
- Numbers: 20, 21, 23
3. Third Row:
- Stem '3' with leaf '2'
- Number: 32
4. Fourth Row:
- Stem '4' with leaf '2'
- Number: 42
Now, we combine all these numbers. The complete set of numbers obtained from the stemplot is:
- 15, 16, 16, 17, 19, 20, 21, 23, 32, 42
Among the given choices:
1. 15, 16, 17, 19, 20, 21, 23, 32, 42
2. 15, 16, 16, 17, 19, 21, 23, 32, 42
3. 15, 16, 16, 17, 19, 20, 21, 23, 32, 42
4. 15, 15, 16, 17, 19, 20, 21, 23, 32, 42
The correct set of data that matches what we have derived is:
15, 16, 16, 17, 19, 20, 21, 23, 32, 42
Therefore, the correct answer is the third option:
[tex]\[
15, 16, 16, 17, 19, 20, 21, 23, 32, 42
\][/tex]
