Question
The average of 25 numbers is 36. When a new number is
added, the average becomes 37. Later, one of the original 25 numbers, which is 30, is removed from this new set. Find the final average of the remaining numbers.Solution
Initial 25 numbers: Sum = 25 × 36 = 900 After adding new number x: Total numbers = 26, average = 37 So new sum = 26 × 37 = 962 Thus x = 962 − 900 = 62 Now we remove the number 30 from this 26-number set: New sum = 962 − 30 = 932 Number of remaining numbers = 25 Final average = 932 / 25 = 37.28.
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