Arrange the datasets with the following pairs of mean (x) and standard deviation (σ) in increasing order of their coefficient of variation:
A. x=14, σ=2.8
B. x=9, σ=1.5
C. x=12, σ=2.1
D. x=8, σ=1.2
Choose the most appropriate answer from the options given below:

Correct option is C

Given:
A. x=14, σ=2.8
​B. x=9, σ=1.5
​C. x=12, σ=2.1
​D. x=8, σ=1.2 
Formula Used:
​$$\text{Coefficient of Variation (CV)} = \left( \frac{\sigma}{x} \right) \times 100$$ ​
Solution:

$$\text{CV of A} = \frac{2.8}{14} \times 100 = 20\% \\\ \\\text{CV of B} = \frac{1.5}{9} \times 100 = 16.66\% \\\ \\\text{CV of C} = \frac{2.1}{12} \times 100 = 17.5\% \\\ \\\text{CV of D} = \frac{1.2}{8} \times 100 = 15\% \\$$

Arranging the datasets in increasing order of their Coefficient of Variation (CV):
D < B < C < A