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The median of a set of 9 distinct observations is 20.5 . If each of the largest 4 observation of the set is increased by 2 , then the median of the new set
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Remains the same as that of the original set
Since $n=9$, then median term $=\left(\frac{9+1}{2}\right)^{\text {th }}=5^{\text {th }}$ term .
Now, last four observations are increased by 2 .
$\because$ The median is $5^{\text {th }}$ observation, which is remaining unchanged.
$\therefore$ There will be no change in median.
Now, last four observations are increased by 2 .
$\because$ The median is $5^{\text {th }}$ observation, which is remaining unchanged.
$\therefore$ There will be no change in median.
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