To find the average of the given numbers, we first add them all together and then divide by the total count of the numbers.
The numbers are: 10, 8, 7, 10, 9, 9, 10, 9, 10, 12, 14, 13, 10, 15, 11, 12.
Step 1: Add all the numbers together.
\[ 10 + 8 + 7 + 10 + 9 + 9 + 10 + 9 + 10 + 12 + 14 + 13 + 10 + 15 + 11 + 12 = 10 + 8 = 18 \ 18 + 7 = 25 \ 25 + 10 = 35 \ 35 + 9 = 44 \ 44 + 9 = 53 \ 53 + 10 = 63 \ 63 + 9 = 72 \ 72 + 10 = 82 \ 82 + 12 = 94 \ 94 + 14 = 108 \ 108 + 13 = 121 \ 121 + 10 = 131 \ 131 + 15 = 146 \ 146 + 11 = 157 \ 157 + 12 = 169 \]
So, the total sum is 169.
Step 2: Count the numbers.
There are 16 numbers in total.
Step 3: Divide the total sum by the count of numbers to find the average.
\[ \text{Average} = \frac{\text{Total Sum}}{\text{Count}} = \frac{169}{16} = 10.5625 \]
Thus, the average of the numbers is 10.5625.