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AP EAMCET20228 Jul 2022Morning ShiftMathematicsStatisticsActual

The mean deviation about the median for the following data 6,3,4,9,2,7 and 11 is

Options

  1. A1.89
  2. B2.57
  3. C3.14
  4. D6.23

Correct answer

B. 2.57

Step-by-step solution

Given data is 6, 3, 4, 9,2,7 and 11 There are total 7 observation which isodd. So, Median = ( x -1 2 )^ th = ( x +1 2 )^ th = 8^ th 2 =4^ th Observation are 2,3,4,6,7,9,11 So, Medium =6= M Mean derivation about Median = 1 x _ 1-1 ^x |x_i-M | 1 7 [ array l |12-6|+|3-6|+|4-6| +|6-6|+|7-6|+|9-6|+|11-6| array ] aligned & 1 7 [|-4|+|-3|+|-2|+0+|1|+|3|+|5|] & 1 7 [4+3+2+1+3+5]= 18 7 =2.57 aligned

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