The mean of a distribution is 11 and the standard deviation in 5 . What is the value of the coefficient variation ?

A. `45.45%`

B. `35.35%`

C. `25.25%`

D. `55.55%`

Options

A. A
B. B
C. D
D. C

Answer

To find the coefficient of variation (CV), we use the formula:

\[ \text{Coefficient of Variation (CV)} = \left( \frac{\text{Standard Deviation}}{\text{Mean}} \right) \times 100 \]

### Step-by-Step Solution:

1. **Identify the given values**:
- Mean (μ) = 11
- Standard Deviation (σ) = 5

2. **Substitute the values into the formula**:
\[ CV = \left( \frac{5}{11} \right) \times 100 \]

3. **Calculate the fraction**:
\[ \frac{5}{11} \approx 0.4545 \]

4. **Multiply by 100 to get the percentage**:
\[ CV \approx 0.4545 \times 100 = 45.45\% \]

5. **Final Result**:
The coefficient of variation is approximately **45.45%**.

### Conclusion:
The correct answer is **A. 45.45%**.