If the average of 8 numbers is 50, what is the average if one number is removed and the new average is 52?
Practice Questions
1 question
Q1
If the average of 8 numbers is 50, what is the average if one number is removed and the new average is 52?
50
51
52
53
Total of 8 numbers = 50 * 8 = 400. New total = 52 * 7 = 364. The removed number = 400 - 364 = 36.
Questions & Step-by-step Solutions
1 item
Q
Q: If the average of 8 numbers is 50, what is the average if one number is removed and the new average is 52?
Solution: Total of 8 numbers = 50 * 8 = 400. New total = 52 * 7 = 364. The removed number = 400 - 364 = 36.
Steps: 3
Step 1: Calculate the total of the 8 numbers using the average. Multiply the average (50) by the number of numbers (8). Total = 50 * 8 = 400.
Step 2: Calculate the new total after removing one number. The new average is 52 for 7 numbers. Multiply the new average (52) by the new number of numbers (7). New total = 52 * 7 = 364.
Step 3: Find the removed number by subtracting the new total (364) from the original total (400). Removed number = 400 - 364 = 36.
