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BITSAT2024MathematicsStatisticsActual

If the variance of the data 2,3,5,8,12 is ^2 and the mean deviation from the median for this data is M , then ^2- M =

Options

  1. A10.2
  2. B5.8
  3. C10.6
  4. D8.2

Correct answer

A. 10.2

Step-by-step solution

Observations : 2,3,5,8,12 Mean = 2+3+5+8+12 5 =6 ^2=13.2 Median =5=m Mean deviation about median |x_i-m | n = 3+2+0+3+7 5 =3M=3 ^2-M=13.2-3=10.2

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