Basic Statistics
1. The problem appears to be a list of numbers: 20, 12, 3, 8, 12, 9.
2. Since no specific question is asked, let's analyze these numbers for common algebraic or arithmetic properties.
3. We can find the mean (average) of these numbers using the formula:
$$\text{Mean} = \frac{\text{Sum of all numbers}}{\text{Number of numbers}}$$
4. Calculate the sum:
$$20 + 12 + 3 + 8 + 12 + 9 = 64$$
5. Count the numbers: there are 6 numbers.
6. Calculate the mean:
$$\frac{64}{6} = 10.67$$ (rounded to two decimal places)
7. We can also find the median, which is the middle value when numbers are sorted.
8. Sort the numbers: 3, 8, 9, 12, 12, 20.
9. Since there are an even number of values, median is the average of the 3rd and 4th numbers:
$$\frac{9 + 12}{2} = 10.5$$
10. The mode is the number that appears most frequently, which is 12.
Final answers:
- Mean: 10.67
- Median: 10.5
- Mode: 12