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