Coefficient of variaton `=(…)/("Mean")xx100`

Options

A. SD
B. MD
C. MEDIAN
D. none of these

Explanation

To solve the problem regarding the Coefficient of Variation (CV), we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Formula**:
The Coefficient of Variation (CV) is defined as:
\[ CV = \left( \frac{\text{Standard Deviation}}{\text{Mean}} \right) \times 100 \]

2. **Identify the Components**:
- **Standard Deviation (SD)**: This is a measure of the amount of variation or dispersion in a set of values.
- **Mean**: This is the average of the set of values.

3. **Substitute the Values**:
To calculate the CV, you need to have the values for both the standard deviation and the mean. Let's denote:
- Standard Deviation = \( \sigma \)
- Mean = \( \mu \)

Then, we can rewrite the formula as:
\[ CV = \left( \frac{\sigma}{\mu} \right) \times 100 \]

4. **Calculate the Coefficient of Variation**:
Once you have the values for \( \sigma \) and \( \mu \), substitute them into the formula to compute the CV.

### Example Calculation:
- If the Standard Deviation \( \sigma = 10 \) and the Mean \( \mu = 50 \):
\[ CV = \left( \frac{10}{50} \right) \times 100 = 20\% \]

### Final Answer:
The Coefficient of Variation is calculated as:
\[ CV = \left( \frac{\text{Standard Deviation}}{\text{Mean}} \right) \times 100 \]

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