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AP EAMCET201923 Apr 2019Morning ShiftMathematicsStatisticsActual

The coefficient of variation of the following distribution is ( array l|c|c|c|c|c Class interval & 0-5 & 5-10 & 10-15 & 15-20 & 20-25 Frequency & 4 & 1 & 10 & 3 & 2 array )

Options

  1. A( 25 139 12 )
  2. B( 25 139 6 )
  3. C( 139 6 )
  4. D( 25 139 12 )

Correct answer

B. ( 25 139 6 )

Step-by-step solution

According to given data, ( array ccccc array c Class Interval array & array c Frequency f _ i array & x _ i & x _ i f _ i & | x - x _ i | 0-5 & 4 & 2.5 & 10 & 9.5 5-10 & 1 & 7.5 & 7.5 & 4.5 10-15 & 10 & 12.5 & 125 & 0.5 15-20 & 3 & 17.5 & 52.5 & 5.5 20-25 & 2 & 22.5 & 45 & 10.5 & N= f_i & & x_i f_i & & =20 & & =240 & array ) ( aligned x & = x_i f_i N = 240 20 =12 ^2 & = f_i ( x -x_i )^2 N & = 4(9.5)^2+1(4.5)^2+10(0.5)^2+3(5.5)^2+2(10.5)^2 20 & = 139 4 CV & = x 100= 139 2 12 100= 25 139 6 aligned ) Hence, option (b)

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