To match the stem-and-leaf plot to the correct set of data, we first need to interpret what the stem-and-leaf plot represents.
In the notation of stem-and-leaf plots:
- The "stem" is the first part of the number (all the digits except the last one), and
- The "leaf" is the last digit.
Given the notation "1 | 7 means 1.7", one can infer that the data is likely decimal values.
Looking at the provided sets of data:
- 1.3, 1.7, 1.7, 2.6, 2.8, 2.8, 3.5, 3.7
- 7, 7, 3, 8, 8, 6, 7, 5
- 1.3, 1.7, 1.7, 2.6, 2.8, 2.8, 3.5, 3.7 (Identical to the first set)
- 17, 17, 13, 28, 28, 26, 37, 35
Now let's analyze the first set (1.3, 1.7, 1.7, 2.6, 2.8, 2.8, 3.5, 3.7):
This represents the values in the stem-and-leaf plot with stems of "1", "2", and "3":
- Stem "1" includes the leaves "3", "7", "7" which corresponds to 1.3, 1.7, 1.7.
- Stem "2" includes the leaves "6", "8", "8" which corresponds to 2.6, 2.8, 2.8.
- Stem "3" includes the leaves "5", "7" which corresponds to 3.5, 3.7.
This matches exactly with both set 1 and set 3.
The correct match for the stem-and-leaf plot is:
1.3, 1.7, 1.7, 2.6, 2.8, 2.8, 3.5, 3.7 (set 1 or 3, since they are identical).