Find the median of the following observations: 46, 64, 87, 41, 58, 77, 35, 90, 55, 92, 33. If 92 is replaced by 99 and 41 by 43 in the above data, find the new median?
Given, numbers are:
46, 64, 87, 41, 58, 77, 35, 90, 55, 92, 33
Arrange in increasing order:
33, 35, 41, 46, 55, 58, 64, 77, 87, 90, 92
n = 11 (odd)
Therefore, median = 
= 
= 
= 6th value
= 58
If 92 is replaced by 99 and 41 by 43, then the new values are:
33, 35, 43, 46, 55, 58, 64, 77, 81, 90, 99
Therefore, n = 11 (odd)
New median = 
value
= 
= 6th value = 58
10