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Question
The mean of nine numbers is 77. If one more number is added to it then the mean increases by 5. Find the number added in the data.
Sum
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Solution
We have, the mean of nine numbers is 77.
The sum of nine numbers = 77 × 9 = 693.
The new mean when one more number is added to it = 77 + 5 = 82.
The sum of ten numbers = 82 × 10 = 820.
So, the number added in the data = 820 − 693 = 127.
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