The mean of `5` observations is `8`, Find the sum of the `5` observations.

Options

A. `50`
B. `35`
C. `45`
D. `40`

Answer

To find the sum of the 5 observations when the mean is given, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Mean Formula**:
The mean (average) is calculated using the formula:
\[ \text{Mean} = \frac{\text{Sum of observations}}{\text{Number of observations}} \]

2. **Identify the Given Values**:
From the question, we know:
- Mean = 8
- Number of observations = 5

3. **Set Up the Equation**:
Using the mean formula, we can set up the equation:
\[ 8 = \frac{\text{Sum}}{5} \]

4. **Solve for the Sum**:
To find the sum, we can rearrange the equation:
\[ \text{Sum} = 8 \times 5 \]

5. **Calculate the Sum**:
Now, perform the multiplication:
\[ \text{Sum} = 40 \]

6. **Conclusion**:
Therefore, the sum of the 5 observations is 40.

### Final Answer:
The sum of the 5 observations is **40**.

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