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JEE Main 2003
Exam
JEE Main
Year
2003
Subject
Mathematics
Chapter
Statistics

JEE Main 2003 · Mathematics · Statistics

The median of a set of 9 distinct observations is 20.5 . If each of...

The median of a set of 9 distinct observations is 20.520.5. If each of the largest 4 observations of the set is increased by 2 , then median of the new set

Options

  1. Aremains the same as that of the original set
  2. Bis increased by 2
  3. Cis decreased by 2
  4. Dis two times the original median

Correct answer

A. remains the same as that of the original set

Step-by-step solution

n=9\mathrm{n}=9 then median term =(9+12)th =5th =\left(\frac{9+1}{2}\right)^{\text{th }}=5^{\text{th }} term. Last four observations are increased by 2 . The median is 5 th observation which is remaining unchanged. ∴\therefore There will be no change in median.
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