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Stem Leaf Plot

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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.