1. **Problem Statement:** Arrange the given data of 80 components produced into a grouped frequency distribution with 8 classes starting from 20-29. 2. **Step 1: Identify class intervals.** The classes are: 20-29, 30-39, 40-49, 50-59, 60-69, 70-79, 80-89, 90-99. 3. **Step 2: Count frequencies for each class.** - 20-29: Count numbers between 20 and 29 inclusive. - 30-39: Count numbers between 30 and 39 inclusive. - 40-49: Count numbers between 40 and 49 inclusive. - 50-59: Count numbers between 50 and 59 inclusive. - 60-69: Count numbers between 60 and 69 inclusive. - 70-79: Count numbers between 70 and 79 inclusive. - 80-89: Count numbers between 80 and 89 inclusive. - 90-99: Count numbers between 90 and 99 inclusive. 4. **Step 3: Frequency counts:** - 20-29: 9 (22, 28, 28, 25, 22, 26, 27, 21, 23) - 30-39: 8 (30, 38, 37, 32, 33, 34, 35, 39) - 40-49: 10 (40, 41, 42, 43, 43, 44, 45, 45, 46, 47, 48, 48, 49) but recount carefully: Actually 13 (40,41,42,43,43,44,45,45,46,47,48,48,49) - 50-59: 14 (50,51,51,52,53,53,54,54,55,55,56,57,57,57,57,58,58,59) recount carefully: Actually 18 (50,51,51,52,53,53,54,54,55,55,56,57,57,57,57,58,58,59) - 60-69: 10 (60,62,63,63,64,65,65,66,67,68) - 70-79: 8 (70,73,74,75,76,77,78,79) - 80-89: 7 (81,82,83,87,87,89,89) recount carefully: Actually 6 (81,82,83,87,87,89) - 90-99: 5 (93,95,97,99,99) recount carefully: Actually 4 (93,95,97,99) 5. **Step 4: Final grouped frequency distribution table:** | Class Interval | Frequency | |----------------|-----------| | 20 - 29 | 9 | | 30 - 39 | 8 | | 40 - 49 | 13 | | 50 - 59 | 18 | | 60 - 69 | 10 | | 70 - 79 | 8 | | 80 - 89 | 6 | | 90 - 99 | 4 | 6. **Explanation:** We grouped the data into 8 classes starting at 20-29 and counted how many data points fall into each class. This helps summarize the data distribution clearly. Final answer: The grouped frequency distribution is as shown in the table above.