1. The problem is to insert and analyze the given 138 numerical values. 2. First, we list the values as provided: 37, 38, 37, 20, 43, 37, 40, 39, 42, 42, 40, 38, 43, 43, 18, 19, 20, 20, 24, 32, 29, 21, 22, 24, 28, 45, 32, 30, 33, 23, 28, 24, 25, 31, 42, 29, 38, 34, 35, 36, 34, 37, 42, 44, 33, 35, 46, 44, 41, 35, 40, 38, 34, 36, 33, 31, 30, 34, 29, 33, 37, 35, 33, 32, 38, 45, 42, 34, 39, 44, 38, 35, 30, 37, 40, 32, 35, 31, 36, 32, 41, 34, 36, 32, 31, 34, 36, 31, 23, 35, 30, 34, 37, 32, 35, 32, 34, 32, 33, 33, 29, 31, 29, 28, 23, 37, 39, 38, 40, 37, 39, 42, 43, 45, 40, 40, 27, 34, 36, 28, 29, 33, 31, 44, 42, 44, 27, 29, 31, 26, 38, 20, 37, 46, 45, 44, 40, 38. 3. To analyze these values, we can calculate the mean (average), median, mode, and range. 4. The mean is calculated by summing all values and dividing by the number of values: $$\text{mean} = \frac{\sum_{i=1}^{138} x_i}{138}$$ 5. The median is the middle value when the data is sorted in ascending order. 6. The mode is the value(s) that appear most frequently. 7. The range is the difference between the maximum and minimum values: $$\text{range} = \max(x_i) - \min(x_i)$$ 8. Calculating the sum: $$\sum_{i=1}^{138} x_i = 4843$$ 9. Therefore, the mean is: $$\frac{4843}{138} \approx 35.1$$ 10. Sorting the data and finding the median (the 69.5th value) gives approximately 35. 11. The mode(s) are 37 and 38, as they appear most frequently. 12. The minimum value is 18 and the maximum is 46, so the range is: $$46 - 18 = 28$$ 13. Summary: - Mean: 35.1 - Median: 35 - Mode: 37, 38 - Range: 28 This analysis helps understand the distribution of the data values.