The given numbers are: \[ 8, 10, 8, 5, 4, 7, 5, 10, 8 \]
Add all the numbers together: \[ 8 + 10 + 8 + 5 + 4 + 7 + 5 + 10 + 8 = 65 \]
Count how many numbers are in the list: \[ \text{Number of values} = 9 \]
Divide the sum of the numbers by the count of values: \[ \text{Arithmetic mean} = \frac{65}{9} \approx 7.22 \]
\(\boxed{\frac{65}{9}} \approx 7.22\)
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