To find the sample mean of cars sold per week, we will follow these steps:
1. List the number of cars sold each week:
The given data provides the number of cars sold per week as follows:
- Week 10: 6 cars
- Week 11: 2 cars
- Week 12: 5 cars
- Week 13: 6 cars
- Week 14: 5 cars
- Week 15: 7 cars
- Week 16: 1 car
- Week 17: 4 cars
- Week 18: 6 cars
- Week 19: 8 cars
- Week 20: 9 cars
- Week 21: 2 cars
- Week 22: 5 cars
- Week 23: 9 cars
- Week 24: 5 cars
- Week 25: 3 cars
- Week 26: 3 cars
2. Extract the number of cars sold:
We can write down the list of cars sold each week as:
[tex]\[ [6, 2, 5, 6, 5, 7, 1, 4, 6, 8, 9, 2, 5, 9, 5, 3, 3] \][/tex]
3. Calculate the sum of the number of cars sold:
Adding these number of cars sold together:
[tex]\[ 6 + 2 + 5 + 6 + 5 + 7 + 1 + 4 + 6 + 8 + 9 + 2 + 5 + 9 + 5 + 3 + 3 = 86 \][/tex]
4. Count the total number of weeks:
The total number of weeks provided is 17.
5. Calculate the sample mean:
The sample mean is calculated by dividing the total number of cars sold by the number of weeks:
[tex]\[ \text{Sample Mean} = \frac{\text{Total number of cars sold}}{\text{Number of weeks}} = \frac{86}{17} \approx 5.0588235294117645 \][/tex]
Therefore, the sample mean of cars sold per week is approximately [tex]\( 5.06 \)[/tex] (rounded to two decimal places).
