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99 Percentile Qs Bank for JEE MainMathematicsStatistics

If mean deviation about the mean of the numbers 2 λ ,   4 λ ,   6 λ ,   8 λ ,   . . . . . ,   200 λ is 100 , the median of the given numbers can be

Options

  1. A200
  2. B202
  3. C100
  4. D101

Correct answer

B. 202

Step-by-step solution

Given data is 2 λ ,   4 λ ,   6 λ ,   8 λ ,   . . . . . ,   200 λ Mean, x ¯ = 2 λ + 4 λ + 6 λ + . . . . . + 200 λ 100 = 2 λ · 100 2 1 + 100 100 x ¯ = 101 λ Given, mean deviation about mean is 100 i.e. 100 = ∑ i = 1 100 x i - x ¯ 100 ⇒     10000 = 99 λ + 97 λ + 95 λ + . . . . . + λ + λ + 3 λ + 5 λ + . . . . + 99 λ ⇒     2 λ . 1 + 3 + 5

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