Question : The median of a set of 11 distinct observations is 73.2. If each of the largest five observations of the set is increased by 3, then the median of the new set__________.
Option 1: is 3 times that of the original set
Option 2: is increased by 3
Option 3: remains the same as that of the original set
Option 4: is decreased by 3
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Correct Answer: remains the same as that of the original set
Solution :
Median of set of $n$ observation = $[\frac{(n+1)}{2}]^{th}$ observation
Even if the largest 5 observations are increased by 3, the 6th observation remains the same.
Therefore, the median of the new set remains the same.
Hence, the correct answer is: remains the same as that of the original set.
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