If the average of 8 numbers is 50, what is the average if one number is removed

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Question: If the average of 8 numbers is 50, what is the average if one number is removed and the new average is 52?

Options:

Correct Answer: 51

Solution:

Total of 8 numbers = 50 * 8 = 400. New total = 52 * 7 = 364. The removed number = 400 - 364 = 36.

If the average of 8 numbers is 50, what is the average if one number is removed and the new average is 52?

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.