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 it was 60?

Options:

Correct Answer: 49

Solution:

Total = 50 * 8 = 400. New total = 400 - 60 = 340. New average = 340 / 7 = 48.57.

If the average of 8 numbers is 50, what is the average if one number is removed and it was 60?

If the average of 8 numbers is 50, what is the average if one number is removed and it was 60?

Correct Answer: 48.57

Step 1: Calculate the total of the 8 numbers using the average. Since the average is 50, multiply 50 by 8. Total = 50 * 8 = 400.
Step 2: Identify the number that is being removed. In this case, the number is 60.
Step 3: Subtract the removed number (60) from the total (400) to find the new total. New total = 400 - 60 = 340.
Step 4: Determine how many numbers are left after removing one number. Since we started with 8 numbers and removed 1, we now have 7 numbers left.
Step 5: Calculate the new average by dividing the new total (340) by the number of remaining numbers (7). New average = 340 / 7 = 48.57.

Average Calculation – Understanding how to calculate the average of a set of numbers by dividing the total sum by the count of numbers.
Impact of Removing a Number – Recognizing how the removal of a number affects the total sum and subsequently the average.