The average of all 9 numbers is 50.
Average = Total Sum ÷ Count of Numbers
Total Sum = Average × Count of Numbers
Sum of all 9 numbers:
50×9=450
The average of the first 5 numbers is 54.
Sum of first 5 numbers:
54×5=270
The average of the last 3 numbers is 52.
Sum of last 3 numbers:
52×3=156
Sum of all 9 numbers = (First 5 numbers) + (6th number) + (Last 3 numbers)
450=270+6th number+156
450=426+6th number
6th number=450−426
6th number=24
Therefore, the sixth number is 24.