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Grouped Frequency B48964

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1. **State the problem:** Organize the given data into a grouped frequency table. 2. **Data given:** 15.0, 17.4, 10.3, 9.2, 20.7, 18.9, 16.6, 22.4, 23.7, 18.6, 26.1, 16.5, 19.7, 12.9, 15.7, 30.8, 15.4, 20.3, 24.0, 29.6, 18.3, 23.7, 17.8, 24.6, 23.0, 21.4, 32.8, 12.5, 17.5, 18.3, 23.2, 21.6, 20.8, 29.8, 24.5, 28.4, 13.5, 17.1, 27.1, 27.9 3. **Step 1: Determine the range and class intervals.** - Minimum value = 9.2 - Maximum value = 32.8 - Range = $32.8 - 9.2 = 23.6$ 4. **Step 2: Choose class width.** - Let's choose class width = 5 for simplicity. 5. **Step 3: Define class intervals starting from 9 to cover all data:** - 9 - 13.9 - 14 - 18.9 - 19 - 23.9 - 24 - 28.9 - 29 - 33.9 6. **Step 4: Count frequencies for each class:** - 9 - 13.9: 9.2, 10.3, 12.5, 12.9, 13.5 → 5 - 14 - 18.9: 15.0, 15.4, 15.7, 16.5, 16.6, 17.1, 17.4, 17.5, 17.8, 18.3, 18.3, 18.6, 18.9 → 13 - 19 - 23.9: 19.7, 20.3, 20.7, 20.8, 21.4, 21.6, 22.4, 23.0, 23.2, 23.7, 23.7 → 11 - 24 - 28.9: 24.0, 24.5, 24.6, 26.1, 27.1, 27.9, 28.4 → 7 - 29 - 33.9: 29.6, 29.8, 30.8, 32.8 → 4 7. **Step 5: Present the grouped frequency table:** | Class Interval | Frequency | |----------------|-----------| | 9 - 13.9 | 5 | | 14 - 18.9 | 13 | | 19 - 23.9 | 11 | | 24 - 28.9 | 7 | | 29 - 33.9 | 4 | This table organizes the data into groups showing how many data points fall into each interval.