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99 Percentile Qs Bank for JEE MainMathematicsStatistics

If 0 and the mean deviation of the observations k , for k=1,2, , 50 about its median is 50 , then | |=

Options

  1. A4
  2. B3
  3. C2
  4. D5

Correct answer

A. 4

Step-by-step solution

Given observations = K Here, K =1,2,3, , 50 K = , 2 , 3 , . ., 50 Number of observations =50 (Even) aligned & Median of given observation = 25 +26 2 & M=25.5 aligned Now, mean deviation about median aligned & M,D. (M) = _ k=1 ^n |x_i-m | n & 50= _ k=1 ⁵⁰|k -25.5 | 50 & 50 50= _ k=1 ⁵⁰| (K-25.5)| & | | _ k=1 ⁵⁰|k-25.5|=2500 & 2| |[24.5+23.5+. .+1.5+0.5]=2500 & 2| | 25 2 (24.5+0.5)=2500 & | | 25=1400 | |=4 aligned

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