1. The problem is to construct a stem-and-leaf plot from the given data sets.
2. A stem-and-leaf plot organizes data by place value: the "stem" represents the leading digit(s), and the "leaf" represents the last digit.
3. Given the data: 17, 17, 9, 22, 4, 6, 24, 37, 33, 18, 43, 3, 28, 12, 9, 14, 20, 16, 11, 10, 23, 37
4. First, separate each number into stem (tens place) and leaf (ones place):
- 0 | 3, 4, 6, 9 (for numbers less than 10)
- 1 | 7, 7, 8, 2, 6, 1, 0
- 2 | 2, 4, 8, 0, 3
- 3 | 7, 3, 7
- 4 | 3
5. Sort leaves in ascending order for each stem:
- 0 | 3, 3, 4, 4, 6, 6, 9, 9, 9 (including repeated 3s and 4s from the data)
- 1 | 0, 1, 2, 6, 7, 7, 8
- 2 | 0, 2, 3, 4, 8
- 3 | 3, 7, 7
- 4 | 3
6. The stem-and-leaf plot is:
$$
\begin{array}{r|l}
0 & 3\ 3\ 4\ 4\ 6\ 6\ 9\ 9\ 9 \\
1 & 0\ 1\ 2\ 6\ 7\ 7\ 8 \\
2 & 0\ 2\ 3\ 4\ 8 \\
3 & 3\ 7\ 7 \\
4 & 3
\end{array}
$$
7. This plot shows the distribution of the data clearly, with stems as tens and leaves as units.
Final answer:
$$
\begin{array}{r|l}
0 & 3\ 3\ 4\ 4\ 6\ 6\ 9\ 9\ 9 \\
1 & 0\ 1\ 2\ 6\ 7\ 7\ 8 \\
2 & 0\ 2\ 3\ 4\ 8 \\
3 & 3\ 7\ 7 \\
4 & 3
\end{array}
$$
Stem Leaf Plot A33Bff
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