The table gives a car dealer's weekly sales for a random sample of 26 weeks.

\begin{tabular}{|c|c|}
\hline Week & Cars Sold \\
\hline 1 & 1 \\
\hline 2 & 1 \\
\hline 3 & 4 \\
\hline 4 & 2 \\
\hline 5 & 4 \\
\hline 6 & 10 \\
\hline 7 & 8 \\
\hline 8 & 5 \\
\hline 9 & 9 \\
\hline 10 & 6 \\
\hline 11 & 2 \\
\hline 12 & 5 \\
\hline 13 & 6 \\
\hline
\end{tabular}



Answer :

To analyze the car dealer's weekly sales, let's break down the process step by step.

### Step 1: List the Weekly Sales Data
The weekly sales data provided is as follows:
- Week 1: 1 car
- Week 2: 1 car
- Week 3: 4 cars
- Week 4: 2 cars
- Week 5: 4 cars
- Week 6: 10 cars
- Week 7: 8 cars
- Week 8: 5 cars
- Week 9: 9 cars
- Week 10: 6 cars
- Week 11: 2 cars
- Week 12: 5 cars
- Week 13: 6 cars

### Step 2: Calculate the Total Sales Over 13 Weeks
To find the total number of cars sold over the 13-week period, we sum all the sales figures provided:
[tex]\[ 1 + 1 + 4 + 2 + 4 + 10 + 8 + 5 + 9 + 6 + 2 + 5 + 6 \][/tex]

When we add up these numbers, we get:
[tex]\[ 63 \][/tex]

So, the total sales over the 13 weeks is 63 cars.

### Step 3: Calculate the Average Sales per Week
To find the average number of cars sold per week over the 13-week period, we divide the total sales by the number of weeks:

[tex]\[ \text{Average sales per week} = \frac{\text{Total sales}}{\text{Number of weeks}} \][/tex]
[tex]\[ \text{Average sales per week} = \frac{63}{13} \][/tex]

When we perform the division, we get:
[tex]\[ \approx 4.846153846153846 \][/tex]

### Conclusion
From the data and calculations:
- The total sales over the 13 weeks is 63 cars.
- The average sales per week is approximately 4.846153846153846 cars.

By carefully examining the data and performing the calculations step-by-step, we arrive at a clear understanding of the car dealer's sales performance over the given period.