Question

Arrange the steps to compute the coefficient of variation \(CV\) in correct order: A. Compute standard deviation \(SD\), B. Divide \(SD\) by mean \(\bar{X}\), C. Compute Mean \(\bar{X}\), D. Multiply the ratio of \(SD\) and mean with 100 to express in percentage, E. Report CV.

• A. C, A, B, D, E
• B. A, B, C, D, E
• C. C, B, D, A, E
• D. D, E, A, B, C

Hint:

To calculate \(CV\), remember: Mean first, SD second, divide SD by mean, multiply by 100, then report the result.

Answer 1

The Correct Option is A

Concept: Coefficient of variation is a relative measure of dispersion. It compares standard deviation with mean. \[ CV=\frac{SD}{\bar{X}}\times 100 \]

Step 1: Compute mean.
First, calculate mean \(\bar{X}\). \[ C = \text{Compute mean} \]

Step 2: Compute standard deviation.
Then calculate standard deviation. \[ A = \text{Compute SD} \]

Step 3: Divide SD by mean.
\[ B = \frac{SD}{\bar{X}} \]

Step 4: Multiply by 100.
\[ D = \frac{SD}{\bar{X}}\times 100 \]

Step 5: Report CV.
Finally, report the coefficient of variation. \[ E = \text{Report CV} \] Thus, the correct order is: \[ C, A, B, D, E \]