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 If the mean of the set of number x1,x2...xn is ¯x ,then the mean of the number xi+2i,1n is 
Options:
A .  ¯x+2n
B .  ¯x+n+1
C .  ¯x+2
D .  ¯x+n
Answer: Option B
:
B
¯x=ni=1xinni=1xi=n¯xni(xi+2i)n=ni=1xi+2(1+2+...+n)n=n¯x+2n(n+1)2n=¯x+(n+1)

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