If the data set 30, 34, 35, 36, 37, 38, 39, 40 excludes 35, the median increases

Q.If the data set 30, 34, 35, 36, 37, 38, 39, 40 excludes 35, the median increases (a) 2 (b) 1.5 (c) 1 (d) 0.5

Answer: D

\(n=8\)
∴ Median \(=\cfrac{1}{2}\) (4th term + 5th term)
\(=\cfrac{1}{2} (36+37)=\cfrac{73}{2}=36.5\)
If 35 is excluded, then \(n=7\)
In that case, the median would be the 4th term = 37
∴ Increase in median \(= (37-36.5) = 0.5\).