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AP EAMCET20224 Jul 2022Evening ShiftMathematicsStatisticsActual

If the mean of the data p , 6 , 6 , 7 , 8 , 11 , 15 , 16 , is 3 times p , then the mean deviation of the data from its mean is

Options

  1. A2 . 25
  2. B3 . 75
  3. C4 . 4
  4. D2 . 5

Correct answer

B. 3 . 75

Step-by-step solution

We know that mean deviation for ungrouped data: For ' n ' observation x 1 , x 2 … … … … . . x n , the mean deviation about their mean x ¯ is given by M . D = ∑ i = 1 n x i - x ¯ N . where N is the number of observations Now given data of numbers are p ,   6 , 6 , 7 , 8 , 11 , 15 , and 16   . So, mean x ¯ = p + 6 + 6 + 7 + 8 + 11 + 15 + 16 8 = 3 p ⇒ 23 p = 69 ⇒ p = 3 So given data is 3 , 6 , 6 , 7 , 8 , 11 , 15 , 16 and mean is 3 p = 3 ×

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