If the mean of few observation is 40 and standard deviation is 8. then what is the coefficient of variation?

Options

A. A) 0.01
B. B) 0.1
C. C) 0.2
D. D) 0.3

Answer

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

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

### Step-by-Step Solution:

1. **Identify the Mean and Standard Deviation**:
- Mean (μ) = 40
- Standard Deviation (σ) = 8

2. **Substitute the Values into the Formula**:
\[ CV = \left( \frac{8}{40} \right) \times 100 \]

3. **Calculate the Fraction**:
\[ \frac{8}{40} = 0.2 \]

4. **Multiply by 100 to Get the Percentage**:
\[ CV = 0.2 \times 100 = 20 \]

5. **Final Result**:
The coefficient of variation is 20%.