To understand how the average number of books read per week is calculated, let's follow these steps:
1. Given Data:
We have the following data representing the number of books read over several weeks:
[tex]\[
\begin{array}{|c|c|}
\hline
\text{Number of Weeks} & \text{Number of Books} \\
\hline
0 & 2 \\
\hline
1 & 6 \\
\hline
2 & 10 \\
\hline
3 & 14 \\
\hline
4 & 18 \\
\hline
\end{array}
\][/tex]
2. Step 1: List the weeks and corresponding number of books:
- Weeks: [tex]\( [0, 1, 2, 3, 4] \)[/tex]
- Books: [tex]\( [2, 6, 10, 14, 18] \)[/tex]
3. Step 2: Calculate the total number of books read:
We add up the number of books read in each week:
[tex]\[
2 + 6 + 10 + 14 + 18 = 50
\][/tex]
So, the total number of books read over these weeks is 50.
4. Step 3: Determine the number of weeks:
Count the number of entries for the weeks:
[tex]\[
\text{Number of Weeks} = 5
\][/tex]
5. Step 4: Calculate the average number of books read per week:
The average can be found using the formula for the mean:
[tex]\[
\text{Average} = \frac{\text{Total Number of Books}}{\text{Number of Weeks}} = \frac{50}{5} = 10.0
\][/tex]
Conclusion:
- The weeks listed are: [tex]\( [0, 1, 2, 3, 4] \)[/tex]
- The number of books read each week are: [tex]\( [2, 6, 10, 14, 18] \)[/tex]
- The total number of books read over these weeks is 50.
- The number of weeks is 5.
- The average number of books read per week is 10.0.
Thus, based on the given data, the average number of books read per week is 10.
