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MHT CET20239 May 2023Morning ShiftMathematicsStatisticsActual

The standard deviation of the following distribution array |c|c|c|c| C.I. & 0-6 & 6-12 & 12-18 f _ i & 2 & 4 & 6 array is

Options

  1. A5 2
  2. B5
  3. C2 5
  4. D20

Correct answer

C. 2 5

Step-by-step solution

array |c|c|c|c|c|c| C.I. & f _ i & x _ i & x _ i ^ 2 & f _ i x _ i & f _ i x _ i ^ 2 0-6 & 2 & 3 & 9 & 6 & 18 6-12 & 4 & 9 & 81 & 36 & 324 12-18 & 6 & 15 & 225 & 90 & 1350 Total & 1 2 & & & 1 3 2 & 1 6 9 2 array Here f _ i =12, f _ i x_ i =132, f _ i x_ i ^2=1692 aligned V ( X ) & = 1692 12 - ( 132 12 )^2 & =141-121 & =20 aligned Standard deviation = 20 =2 5

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