Statistics
Coefficient of Variation
Grade Class 12
Question:
For a data set of 10 observations with mean $\bar{x} = 50$, $\displaystyle\sum(x_i-\bar{x})^2 = 250$. The coefficient of variation (CV) is
Step-by-Step Solution
Key Concept: CV = (SD/mean) × 100; variance = 250/10 = 25, SD = 5.
Variance $=\frac{250}{10}=25$, SD $=5$. CV $=\frac{5}{50}\times 100 = 10\%$.
Correct Answer: 1