1. The problem is to analyze the given list of numbers: 1.78, 12, 1.00, 3.56, 1.00, 1.00, 2.92, 1.78, 5.35, 12.27. 2. Since no specific operation is requested, let's explore some basic statistics: mean, median, and mode. 3. The mean (average) is calculated by summing all numbers and dividing by the count. $$\text{Mean} = \frac{1.78 + 12 + 1.00 + 3.56 + 1.00 + 1.00 + 2.92 + 1.78 + 5.35 + 12.27}{10}$$ 4. Calculate the sum: $$1.78 + 12 + 1.00 + 3.56 + 1.00 + 1.00 + 2.92 + 1.78 + 5.35 + 12.27 = 42.66$$ 5. Divide by 10: $$\text{Mean} = \frac{42.66}{10} = 4.266$$ 6. The median is the middle value when numbers are sorted. Sort the list: $$1.00, 1.00, 1.00, 1.78, 1.78, 2.92, 3.56, 5.35, 12, 12.27$$ 7. Since there are 10 numbers (even), median is average of 5th and 6th values: $$\text{Median} = \frac{1.78 + 2.92}{2} = \frac{4.7}{2} = 2.35$$ 8. The mode is the most frequent number, which is 1.00 appearing 3 times. 9. Summary: - Mean = 4.266 - Median = 2.35 - Mode = 1.00 This analysis helps understand the distribution of the numbers.