If the average of 8 numbers is 50, what is the average if one number is removed
Practice Questions
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
Questions & Step-by-Step Solutions
If the average of 8 numbers is 50, what is the average if one number is removed and the new average is 52?
Correct Answer: 36
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.
Average Calculation – Understanding how to calculate the average of a set of numbers and how removing a number affects the total and average.
Total Calculation – Calculating the total sum of numbers based on the average and the number of elements.
