1. **Problem Statement:** You are given quiz scores of 20 students: 70, 86, 74, 90, 80, 96, 84, 78, 70, 80, 86, 94, 68, 92, 80, 84, 80, 90, 74, 84. Task A is to construct a simple frequency distribution and a grouped frequency distribution with class intervals of 5. 2. **Simple Frequency Distribution:** List each unique score and count how many times it appears. Scores and their frequencies: - 68: 1 - 70: 2 - 74: 2 - 78: 1 - 80: 4 - 84: 4 - 86: 2 - 90: 2 - 92: 1 - 94: 1 - 96: 1 3. **Grouped Frequency Distribution:** We use class intervals of 5, starting from the minimum score 68 to the maximum 96. Class intervals and frequencies: - 65–69: 1 (68) - 70–74: 4 (70, 74, 74, 70) - 75–79: 1 (78) - 80–84: 8 (80, 80, 80, 80, 84, 84, 84, 84) - 85–89: 2 (86, 86) - 90–94: 4 (90, 90, 92, 94) - 95–99: 1 (96) 4. **Explanation:** - Frequency distribution counts how many times each score appears. - Grouped frequency distribution groups scores into intervals (bins) and counts frequencies in each bin. 5. **Histogram or Frequency Polygon:** - Histogram bars represent frequencies of each class interval. - Frequency polygon connects midpoints of class intervals with frequency points. Final answer: Simple frequency distribution: 68:1, 70:2, 74:2, 78:1, 80:4, 84:4, 86:2, 90:2, 92:1, 94:1, 96:1 Grouped frequency distribution: 65–69:1, 70–74:4, 75–79:1, 80–84:8, 85–89:2, 90–94:4, 95–99:1