If 35 is removed from the data 30,34, 35, 36, 37, 38, 39, 40 then the median increases by

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 4^th term and 5^th 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 = 4^th term

⇒ Median = 37 …(ii)

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

Difference = 37 – 36.5

⇒ Difference = 0.5

Thus, option (D) is correct.