Question

In order of find the median in a discrete series, (N + l)/2 is used, while in continuous series, (N/2) is used, Why?

Answer 1

In continuous series the median is of N/2^th item’s value not a value of \([\frac{N + 1}{2}]\) th item. Because the value of median have to be similar in ascending and descending order. If we considered is N/2 located on centre point than the value of median would comes out similar and it is suitable to determine the median by cumulative frequency curve because the centre point of the curve is located on N/2.