Let's walk through the solution to the given problem step by step.
1. Understanding the Table and the Sum:
- The table provides a series of numbers arranged into rows and columns.
- We are given the sum of all these numbers is 82.
2. Summing the Elements:
- The table looks like this:
```
4, -5, 25
5, -4, 16
10, 1, 1
11, 2, 4
15, 6, 36
```
- Adding up all these numbers:
- 4 + (-5) + 25
- 5 + (-4) + 16
- 10 + 1 + 1
- 11 + 2 + 4
- 15 + 6 + 36
3. Total Sum Calculation:
- Summing all elements:
- (4 - 5 + 25) + (5 - 4 + 16) + (10 + 1 + 1) + (11 + 2 + 4) + (15 + 6 + 36)
- This gives the total sum of the elements: 127.
- We know from the problem that the sum of all elements should be equal to 82. However, let's proceed to find the average based on the sum we calculated.
4. Calculating the Average:
- Given the total sum of all elements is 127, we assume that generally this sum is taken to get some measure; hence, let's consider it for calculating the average.
- Since the final sum is supposed to be 82 (a hint provided), using it helps in normalizing the average calculation:
- Average = Total Sum / Given Sum
- Average = 127 / 82
5. Rounding the Answer:
- Dividing 127 by 82 yields approximately 1.54878.
- Rounding 1.54878 to the nearest tenth:
- The first digit after the decimal is 5, and the next digit is 4 (less than 5), so we retain 1.5.
Therefore, the average rounded to the nearest tenth is 1.5. The choices given do not match this directly which suggests a discrepancy; however, following the provided sums and calculations:
- The true rounded answer to the nearest tenth is 1.5.
Given the choices:
A. 4.5
B. 20.5
C. 16.4
D. 4.1
None of these choices match the calculation directly, yet our detailed computation leads to 1.5. It is important to double-check context in cases of discrepancies in numerical problems.
The correct rounded average based on our detailed calculation is 1.5.
