If the average of 15 numbers is 60, what is the average if one number is replace

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Question: If the average of 15 numbers is 60, what is the average if one number is replaced by 90?

Options:

Correct Answer: 62

Solution:

Total = 15 * 60 = 900. New total = 900 - x + 90. New average = (900 - x + 90) / 15.

If the average of 15 numbers is 60, what is the average if one number is replaced by 90?

If the average of 15 numbers is 60, what is the average if one number is replaced by 90?

Step 1: Calculate the total of the 15 numbers using the average. Since the average is 60, multiply 60 by 15. Total = 60 * 15 = 900.
Step 2: Identify the number that is being replaced. Let's call this number 'x'.
Step 3: Calculate the new total after replacing 'x' with 90. The new total will be 900 - x + 90.
Step 4: Simplify the new total. This becomes 900 - x + 90 = 990 - x.
Step 5: Calculate the new average by dividing the new total by the number of numbers, which is still 15. New average = (990 - x) / 15.

Average Calculation – Understanding how to calculate the average of a set of numbers and how it changes when one number is replaced.
Total Sum of Numbers – Calculating the total sum of numbers from the average and the number of elements.
Impact of Replacement – Analyzing how replacing a number in a set affects the overall average.