Finding a Missing Number when Average and Some Numbers are Given


1. Finding a Missing Number when Average and Some Numbers are Given


The same average formula is used: 


Average = Total Sum of all Numbers​ / Number of Numbers


From this,


Total Sum = Average × Number of Numbers


Then,


Missing Number = Total Sum − Sum of Given Numbers


Example 1:


The average of 5 numbers is 20.
Out of them, 4 numbers are given: 18, 22, 20, 24.
Find the 5th number.


1st : Find the total sum


Total Sum = 20×5 = 100


2nd : Find the sum of the given 4 numbers


18+22+20+24=84


3rd : Find the missing number


Missing Number = 100−84=16


So, the 5th number = 16