Q. 9 A35.0( 8 Votes )

# If 35 is removed

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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