1. **Problem Statement:** Prepare a frequency distribution table for the given data with class intervals 10-19, 20-29, ..., etc. 2. **Formula and Rules:** - Frequency distribution groups data into classes and counts the number of data points in each class. - Class intervals must be mutually exclusive and exhaustive. - Frequency is the count of data points in each class. 3. **Data:** 40 28 15 28 27 25 26 39 40 37 39 41 28 36 55 32 57 32 41 10 45 59 51 28 43 37 33 28 42 39 31 39 18 36 45 37 26 23 42 58 37 36 33 20 23 42 28 37 44 36 40 39 41 39 38 38 16 41 27 19 4. **Class Intervals:** 10-19, 20-29, 30-39, 40-49, 50-59 5. **Counting Frequencies:** - 10-19: Count numbers between 10 and 19 inclusive. - 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. 6. **Frequency Calculation:** - 10-19: 15, 10, 18, 16, 19 → 5 - 20-29: 28, 28, 27, 25, 26, 28, 28, 23, 26, 23, 28, 27 → 12 - 30-39: 32, 32, 33, 31, 37, 37, 36, 37, 36, 33, 37, 36, 38, 38, 36, 39, 39, 39, 39, 38, 39, 37 → 22 - 40-49: 40, 40, 41, 41, 42, 42, 42, 40, 41, 41, 44, 43, 45, 45, 42, 40, 41, 42, 44 → 19 - 50-59: 55, 57, 51, 59, 58 → 5 7. **Frequency Distribution Table:** | Class Interval | Frequency | |----------------|-----------| | 10 - 19 | 5 | | 20 - 29 | 12 | | 30 - 39 | 22 | | 40 - 49 | 19 | | 50 - 59 | 5 | **Final Answer:** The frequency distribution table is as above.