The mean of 8 numbers is 35. If a number is excluded then the mean is reduced by 3. Find the excluded
number.
It is given that
Mean of 8 numbers = 35
So the total sum = 35 (8) = 280
It is given that if a number is excluded then the mean is reduced by 3
So the new mean = 35 – 3 = 32
We know that total sum of 7 numbers = 32 (7) = 224
So we get
Excluded number = sum of 8 numbers – sum of 7 numbers
By substituting the values
Excluded number = 280 – 224 = 56
Therefore, the excluded number is 56.
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