To find the sample mean of cars sold per week, follow these steps:
1. Sum all the weekly sales: Add up the numbers of cars sold over the 26 weeks.
[tex]\[ 1 + 1 + 4 + 2 + 4 + 10 + 8 + 5 + 9 + 6 + 2 + 5 + 6 + 5 + 7 + 1 + 4 + 6 + 8 + 9 + 2 + 5 + 9 + 5 + 3 + 3 = 130 \][/tex]
2. Count the number of weeks: We are given sales data for 26 weeks.
[tex]\[ \text{Number of weeks} = 26 \][/tex]
3. Calculate the sample mean: Divide the total number of cars sold by the number of weeks.
[tex]\[ \text{Sample mean} = \frac{\text{Total number of cars sold}}{\text{Number of weeks}} = \frac{130}{26} = 5 \][/tex]
Therefore, the sample mean of cars sold per week is [tex]\( \boxed{5} \)[/tex].