The mean of 5 numbers is 22 . If one number is excluded, then the mean gets reduced by 2 . Determine the excluded number
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Mean is the sum of the numbers divided by the total number of values.
Given that the arithmetic mean of 5numbers is 27.
Let the numbers be x1,x2,x3,x4,x5
Therefore, 27=5x1+x2+x3+x4+x5
x1+x2+x3+x4+x5=27×5=135 -------(1)
After excluding one number then the mean is 25
Let the excluded number be x5
Therefore, 25=4x1+x2+x3+x4
x1+x2+x3+x4=25×4=100 ------(2)
subtracting (1) and (2) we get
(x1+x2+x3+x4
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