Find the median of the following data:
20, 14, 6, 25, 18, 13, 19, 10, 9, 1
Thus, the required median = 10.
Arranging the given data in increasing order, we get
6, 9, 10, 12, 13, 14, 18, 19, 20, 25
n = 10 (even)
Median = (n/2 term + (n/2 + 1)th term) / 2
= (10/2 term + (10/2 + 1)th term) / 2
= (5th term + 6th term) / 2
= (13 + 14) / 2 = 27 / 2 = 13.5
Thus, the required median = 13.5.