1. **Problem Statement:** We are given data representing the number of children per family for 30 families. The task is to arrange these values into a frequency distribution. 2. **Understanding Frequency Distribution:** A frequency distribution shows how often each value occurs in the data set. Here, the values range from 0 to 5. 3. **Data Given:** $$2,4,0,2,3,1,4,2,3,5,2,2,3,2,2,3,1,2,3,2,0,1,1,2,3,3,1,2,0,3$$ 4. **Count the frequency of each value:** - Count of 0: Number of times 0 appears - Count of 1: Number of times 1 appears - Count of 2: Number of times 2 appears - Count of 3: Number of times 3 appears - Count of 4: Number of times 4 appears - Count of 5: Number of times 5 appears 5. **Calculations:** - 0 appears 3 times - 1 appears 5 times - 2 appears 11 times - 3 appears 8 times - 4 appears 2 times - 5 appears 1 time 6. **Frequency Distribution Table:** | Number of Children | Frequency | |--------------------|-----------| | 0 | 3 | | 1 | 5 | | 2 | 11 | | 3 | 8 | | 4 | 2 | | 5 | 1 | This table summarizes the frequency distribution of the number of children per family for the 30 families.