Median of Grouped Data

If n is odd:
Median =\[\left(\frac{n+1}{2}\right)\]th observation

If n is even:
Median average of  =\[\frac{n}{2}\mathrm{th}\] and \[\left(\frac{n}{2}+1\right)\mathrm{th}\]observations

\[\mathrm{Median}=l+\frac{\left(\frac{n}{2}-cf\right)}{f}\times h\]

• l = lower limit of median class

• n = total frequency

• cf = cumulative frequency of class before median class

• f = frequency of median class

Classes must be continuous before applying the median formula.