Average of 6 numbers is P. One number is removed. New average is P + 5. Which number was removed?
Show answer & explanation
Correct answer: B
Explanation
Given:
Number of terms = 6, Average = P
New number of terms = 5, New average = P + 5
According to the formula:
Sum = Average × Number of terms
Original sum = 6P
New sum = 5(P + 5) = 5P + 25
Removed number = 6P − (5P + 25) = P − 25