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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.

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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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