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Question: Answered & Verified by Expert
In a set of 2n distinct observations, each of the observation below the median of all the observations is increased by 5 and each of the remaining observations is decreased by 3. Then, the mean of the new set of observations :
MathematicsStatisticsJEE MainJEE Main 2014 (09 Apr Online)
Options:
  • A Increases by 2 .
  • B Increases by 1 .
  • C Decreases by 2 .
  • D Decreases by 1 .
Solution:
1715 Upvotes Verified Answer
The correct answer is: Increases by 1 .
New mean=nΣxi+5n+nΣyi-3n2n

=nΣxi+nΣyi2n+2n2n

=old mean +2n2n

=old mean+1

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