Question
Find the median of the following observation:24,
28, 29, 21, 19, 18, 25, 27, 17, 20, 28, 30, 11, 13Solution
Ascending order of the observations: 11, 13, 17, 18, 19, 20, 21, 24, 25, 27, 28, 28, 29, 30
If the number of observations are even, then Median is the average of (n/2) th term and {(n/2) + 1}th term together.
Required median = (1/2) X [(14/2)Ā thĀ term + {(14/2) +1}thĀ term] (Since, 'n' = 14)
= (1/2) X (7thĀ term + 8thĀ term) = (1/2) X (21 + 24) = 22.5