Question: User: 9,667
11,000
8,668
11,500
10,500
10,500
10,000
10,989
10,989
8,150
9,324
10,000
15,000
10,167
10,000
6,327
9,667
10,000
10,333
10,000
10,000
10,000
9,200
8,658
11,322
8,995
10,000
38,900
10,000
11,000
14,000
9,324
11,000
10,000
13,000
10,000
12,000
10,000
10,989
10,999
10,000
10,000
7,992
10,000
4,662
10,000
2,997
2,664
2,664
1,665
6,327
1. **Problem Statement:** Calculate the mean (average) of the given list of numbers.
2. **Formula:** The mean of a set of numbers $x_1, x_2, ..., x_n$ is given by:
$$\text{Mean} = \frac{\sum_{i=1}^n x_i}{n}$$
where $n$ is the total number of values.
3. **Step 1: Count the numbers.**
There are $54$ numbers in the list.
4. **Step 2: Sum all the numbers.**
Calculate the sum:
$$9,667 + 11,000 + 8,668 + 11,500 + 10,500 + 10,500 + 10,000 + 10,989 + 10,989 + 8,150 + 9,324 + 10,000 + 15,000 + 10,167 + 10,000 + 6,327 + 9,667 + 10,000 + 10,333 + 10,000 + 10,000 + 10,000 + 9,200 + 8,658 + 11,322 + 8,995 + 10,000 + 38,900 + 10,000 + 11,000 + 14,000 + 9,324 + 11,000 + 10,000 + 13,000 + 10,000 + 12,000 + 10,000 + 10,989 + 10,999 + 10,000 + 10,000 + 7,992 + 10,000 + 4,662 + 10,000 + 2,997 + 2,664 + 2,664 + 1,665 + 6,327$$
Sum $= 462,982$
5. **Step 3: Calculate the mean.**
$$\text{Mean} = \frac{462,982}{54}$$
6. **Step 4: Simplify the fraction.**
$$\text{Mean} = \cancel{\frac{462,982}{54}} = 8573.37$$
7. **Answer:** The mean of the given numbers is approximately $8573.37$.