Question

The standard deviation of 11 observations taken from a sample with a mean of 500 is 250. The coefficient of variation is:

• A. 10%
• B. 20%
• C. 40%
• D. 50%

Hint:

CV = (SD Mean) \(\times\) 100.
Measures relative dispersion.
Unitless measure.

Answer 1

The Correct Option is D

Step 1: Understanding the Concept:
Coefficient of variation (CV) measures relative variability.
It is expressed as a percentage.

Step 2: Key Formula or Approach:
CV = (Standard deviation Mean) \(\times\) 100.

Step 3: Detailed Explanation:
Given: SD = 250, Mean = 500.
CV = (250 500) \(\times\) 100 = 0.5 \(\times\) 100 = 50%.
Thus, the CV is 50%.

Step 4: Final Answer:
The coefficient of variation is 50%.
Hence, the correct option is (D).