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  4. The median of a set of nine distinct observations is 20.5. If each of the last four observations of the set is increased by 2 , then the median of the new set

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Q. The median of a set of nine distinct observations is $20.5$. If each of the last four observations of the set is increased by $2$ , then the median of the new set

Statistics

Solution:

Since $n=9$, median term $=\left(\frac{9+1}{2}\right)^{\text {th }}=5$ th term.
Now, the last four observations are increased by $2$ .
Since the median is the $5 th$ observation, which remains unchanged, there will be no change in median.