Stem Leaf Plot
1. **State the problem:** We are given 20 data points representing the number of cardiograms performed each day. We need to construct a stem-and-leaf plot with leaves arranged in order.
2. **List the data:** 25, 31, 20, 32, 13, 14, 33, 12, 37, 23, 21, 11, 33, 14, 16, 38, 10, 18, 29, 37
3. **Identify stems and leaves:** The stem is the leading digit(s) (tens place), and the leaf is the trailing digit (ones place).
4. **Group data by stems:**
- Stem 1 (10-19): 10, 11, 12, 13, 14, 14, 16, 18
- Stem 2 (20-29): 20, 21, 23, 25, 29
- Stem 3 (30-39): 31, 32, 33, 33, 37, 37, 38
5. **Order leaves for each stem:**
- Stem 1: 0, 1, 2, 3, 4, 4, 6, 8
- Stem 2: 0, 1, 3, 5, 9
- Stem 3: 1, 2, 3, 3, 7, 7, 8
6. **Construct the stem-and-leaf plot:**
$$
\begin{array}{c|l}
\text{Stem} & \text{Leaves} \\
\hline
1 & 0\ 1\ 2\ 3\ 4\ 4\ 6\ 8 \\
2 & 0\ 1\ 3\ 5\ 9 \\
3 & 1\ 2\ 3\ 3\ 7\ 7\ 8
\end{array}
$$
This plot shows the distribution of cardiograms performed each day with leaves in ascending order for each stem.