The average of 8 numbers is 15. If one number is excluded, the average of the re

The average of 8 numbers is 15. If one number is excluded, the average of the remaining numbers becomes 12. What is the excluded number?

The average of 8 numbers is 15. If one number is excluded, the average of the remaining numbers becomes 12. What is the excluded number?

Step 1: Calculate the total sum of the 8 numbers. Since the average is 15, multiply 15 by 8. This gives you 120.
Step 2: Let the excluded number be represented as 'x'.
Step 3: The sum of the remaining 7 numbers after excluding 'x' is 120 - x.
Step 4: The average of the remaining 7 numbers is given as 12. To find the sum of these 7 numbers, multiply 12 by 7. This gives you 84.
Step 5: Set up the equation: 120 - x = 84.
Step 6: Solve for 'x' by subtracting 84 from 120. This gives you x = 36.

No concepts available.