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Question
The average of n numbers x1,x2,x3,..........,xn is M. If xn is replaced by x’, then new average is
The average of n numbers x1,x2,x3,..........,xn is M. If xn is replaced by x’, then new average is
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Solution
The correct option is B
M=x1+x2+x3.........xnn
nM=x1+x2+x3+........xn−1
nM−xn+x!n=x1+x2+x3+.......xn−1+x!n
∴New average=nM−xn+x!n
M=x1+x2+x3.........xnn
nM=x1+x2+x3+........xn−1
nM−xn+x!n=x1+x2+x3+.......xn−1+x!n
∴New average=nM−xn+x!n
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