Answer :

First, let us find out median of the original set of data.


To find its median, arrange the data into ascending order. We get


30, 34, 35, 36, 37, 38, 39, 40


(Since, it was already arranged in ascending order)


Total number of values, n = 8


Since n is even,




Median = The mean of 4th term and 5th term


Median = The mean of 36 and 37




Median = 36.5 …(i)


And if according to the question, 35 is removed then we have the data,


30, 34, 36, 37, 38, 39, 40


Total number of values, n = 7


Since n is odd,





Median = 4th term


Median = 37 …(ii)


Subtracting equations (ii) and (i), we get


Difference = 37 – 36.5


Difference = 0.5


Thus, option (D) is correct.

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