NDA2020MathematicsStatisticsActual
If x_i=20, x_i^2=200 and n=10 for an observed variable x , then what is the coefficient of variation?
Options
- A80
- B100
- C150
- D200
Correct answer
D. 200
Step-by-step solution
Coefficient of Variation (C.V.) = Standard Deviation ( ) Mean ( ) 100 Now, standard deviation ( )= x_i^2 n - ( x_i n )^2 = 200 10 - ( 20 10 )^2 =4 Mean ( )= x_i n = 20 10 =2 . Co-efficient of variation (C.V.) = 4 2 100=200 .