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Mean

The mean of n...

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.

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Solution

We have, the mean of nine numbers is 77.

The sum of nine numbers = $77 \times 9 = 693$ .

The new mean when one more number is added to it = 77 + 5 = 82.

The sum of ten numbers = $82 \times 10 = 820$ .

So, the number added in the data = $820 - 693 = 127$ .

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