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MHT CET202416 May 2024Morning ShiftMathematicsStatisticsActual

If the sum of the deviations of 50 observations from 30 is 50 , then the mean of these observations is

Options

  1. A30
  2. B51
  3. C50
  4. D31

Correct answer

D. 31

Step-by-step solution

Let the observations be x₁, x_ 2, , x₃, x₅₀ Then, _ i=1 ⁵⁰ (x_i-30 )=50 aligned & _ i =1 ⁵⁰ x_ i -(30 50)=50 & _ i =1 ⁵⁰ x_ i =1550 aligned Mean = _ i =1 ⁵⁰ x_ i n = 1550 50 =31

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