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AP EAMCET201823 Apr 2018Morning ShiftMathematicsStatisticsActual

The marks obtained by students A and B in 3 examinations are given below The ratio of the coefficient of variation of marks of A and the coefficient of variation of marks of B is

Options

  1. A3 : 1
  2. B5: 8 3
  3. C1 : 3
  4. D5: 3 61

Correct answer

D. 5: 3 61

Step-by-step solution

aligned & Marks of A=30,20,40 & x _A= 30+20+40 3 =30 & _A= 0^2+(-10)^2+(10)^2 3 = 200 3 & [ = (x_i- x )^2 n . aligned (C V)_A= 200 3 1 30 = 10 2 30 3 = 2 3 3 [C V= x ] Now, marks of B=70,0,5 aligned x _B & = 70+0+5 3 =25 _B & = (70-25)^2+(0-25)^2+(5-25)^2 3 _B & = 3050 3 (C V)_B & = 3050 3 1 25 & = 5 25 122 3 = 1 5 122 3 (C V)_A:(C V)_B & = 2 3 3 : 1 5 122 3 & 2 3 3 : 1 5 2 61 3 aligned

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