1. **Problem Statement:** Construct a stem-and-leaf display for the given exam scores of 24 students: 56, 62, 68, 74, 71, 69, 85, 78, 81, 55, 60, 67, 72, 66, 59, 73, 88, 90, 47, 52, 64, 79, 61, 70. 2. **Understanding Stem-and-Leaf Display:** A stem-and-leaf display organizes data by separating each value into a "stem" (all but the last digit) and a "leaf" (the last digit). This helps visualize the distribution of data. 3. **Step-by-step Construction:** - Identify stems: Since scores range from 47 to 90, stems will be 4, 5, 6, 7, 8, 9. - For each score, the stem is the tens digit, and the leaf is the units digit. 4. **Organize the data:** - Stem 4: Leaves 7 (from 47) - Stem 5: Leaves 2, 5, 6, 9 (from 52, 55, 56, 59) - Stem 6: Leaves 0, 1, 2, 4, 6, 7, 8, 9 (from 60, 61, 62, 64, 66, 67, 68, 69) - Stem 7: Leaves 0, 1, 2, 3, 4, 8, 9 (from 70, 71, 72, 73, 74, 78, 79) - Stem 8: Leaves 1, 5, 8 (from 81, 85, 88) - Stem 9: Leaf 0 (from 90) 5. **Final Stem-and-Leaf Display:** $$ \begin{array}{c|l} \text{Stem} & \text{Leaves} \\ \hline 4 & 7 \\ 5 & 2\ 5\ 6\ 9 \\ 6 & 0\ 1\ 2\ 4\ 6\ 7\ 8\ 9 \\ 7 & 0\ 1\ 2\ 3\ 4\ 8\ 9 \\ 8 & 1\ 5\ 8 \\ 9 & 0 \end{array} $$ This display shows the distribution of scores clearly, with stems representing tens and leaves representing units.