Subjects statistics

Grouped Frequency

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Grouped Frequency


1. **State the problem:** We need to construct a grouped frequency distribution for the leisure time (in hours) of 80 college students. 2. **Organize the data:** The data ranges from 10 to 49 hours. We will group the data into class intervals of width 5 for clarity. 3. **Define class intervals:** - 10–14 - 15–19 - 20–24 - 25–29 - 30–34 - 35–39 - 40–44 - 45–49 4. **Count frequencies:** Count how many data points fall into each interval. - 10–14: 10, 11, 11, 12, 12, 13, 14, 14 → 8 - 15–19: 15, 15, 15, 15, 15, 16, 16, 16, 16, 16, 16, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 19, 19, 19, 19 → 25 - 20–24: 20, 20, 20, 20, 20, 20, 21, 21, 21, 21, 21, 22, 22, 22, 22, 23, 23, 23, 23, 23, 23, 24, 24, 24, 24 → 25 - 25–29: 25, 25, 25, 26, 26, 27, 27, 28, 28, 29, 29 → 11 - 30–34: 30, 31, 34 → 3 - 35–39: 38 → 1 - 40–44: 44 → 1 - 45–49: 49 → 1 5. **Construct the grouped frequency distribution table:** | Class Interval | Frequency | |---------------|-----------| | 10–14 | 8 | | 15–19 | 25 | | 20–24 | 25 | | 25–29 | 11 | | 30–34 | 3 | | 35–39 | 1 | | 40–44 | 1 | | 45–49 | 1 | This table summarizes the data into groups showing how many students fall into each leisure time interval. **Final answer:** The grouped frequency distribution is as shown in the table above.