UPSC CDS 2 2018 Math Paper

We know that the median of n terms arranged in ascending order when n is odd=(

n+1

2

)th term
Therefore, median of 19 terms will be the 10th term.
Similarly, median of 21 terms = 11th term
When 21 numbers including 8 and 32 are arranged in an ascending order, 8 will come before 30 and 32 will come after 30. Hence, the middle term or 21 terms will remain 30. Thus, the median of 21 terms will be 30.