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AP EAMCET201923 Apr 2019Morning ShiftMathematicsStatisticsActual

The variance of the following data is ( array c|c|c|c|c|c|c|c|c|c|c x _ i & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 f _ i & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 array )

Options

  1. A10
  2. B9
  3. C8
  4. D6

Correct answer

D. 6

Step-by-step solution

According to given data, ( array ccccc x _ i & f _ i & x _ i f _ i & x - x _ i & f _ i ( x - x _ i )^ 2 1 & 1 & 1 & 6 & 36 2 & 2 & 4 & 5 & 50 3 & 3 & 9 & 4 & 48 4 & 4 & 16 & 3 & 36 5 & 5 & 25 & 2 & 20 6 & 6 & 36 & 1 & 6 7 & 7 & 49 & 0 & 0 8 & 8 & 64 & 1 & 8 9 & 9 & 81 & 2 & 36 10 & 10 & 100 & 3 & 90 array ) ( aligned N & = f_i=55, x = x_i f_i N & = 10 11 21 6 55 =7 ^2 & = f_i ( x -x_i )^2 N & = 36+50+48+36+20+6+8+36+90 55 & = 330 55 =6 aligned ) Hence, option (d) is correct.

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