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Questions  

If the mean of the set of numbers x1,x2,,xn is x¯, then the mean of the numbers xi+2i,1in is

a
x¯+2n
b
x¯+n+1
c
x¯+2
d
x¯+n

detailed solution

Correct option is B

x¯=1n∑i=1n xi⇒ ∑i=1n xi=nx¯ Let  M=1n∑i=1n xi+2i=1n∑i=1n xi+2(1+2+…+n)n⇒ M=1nnx¯+2n(n+1)2n∴ M=x¯+(n+1)

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