Find out the median of this data 1, 2, 5, 6, 9, 20, 12, 23 and 11 .
Concept used :
The median is the middle number in a data set when the numbers are listed in either ascending or descending order.
If total number of observation (n) is odd then, Median = (n + 1)th/2 observation
If total number of observation (n) is even then, Median = [(n/2)th + (n/2 + 1)th]/2 observation
Calculations :
Arrange this data in ascending order
Arranged data = 1, 2, 5, 6, 9, 11, 12, 20, 23
n = 9 which is odd
Median = (9 + 1)/2 = 5th observation
5th observation of the data is 9
∴ Median = 9 (middle value of the set)
∴ Median of this set is 9