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Srijan Singh
Srijan Singh
  Offline

Posted on : 06:51:03 PM on July 30, 2009

Quartile deviation of the first eight composite numbers is?

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Answers :

IIT Champ
  IIT
Posted on : 07:02:22 PM on July 30, 2009
First eight composite numbers are 4, 6, 8, 9, 10, 12 ,14 ,15
Q1 is [(n+1)/4]^{th} observation = 9/4 = 2 1/4th observation
or, Q1 = 2nd observation  + 1/4 (3rd - 2nd) observation
or, Q1 = 6 + 1/4(8 - 6) = 6.5
Q3 is 3[(n +1)/4]^{th}observation = 27/4 = 6 3/4th observation

Therefore, Q3 = 6th observation + 3/4(7th - 6th) observation
= 12 + 3/4(14 - 12) = 13.5

Therefore Q.D. = (Q3 - Q1)/2 = (13.5 - 6.5)/2 = 3.5 

Choice (3) is the answer.


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