The mean of 6 numbers is 24. If one number is excluded, the mean of remaining number becomes 22 find the excluded number.

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Solution

Let excluded number be x
As Mean = $\frac{s u m}{N u m b e r o f t e r m s} \to s u m = 6 \times 24 = 144$
and $144 - x = (22 \times 5) \to x = 144 - 110$
Ramaining numbers $\to x = 34$

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