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Questions  

The mean of n items is x¯. If the first term is increased by 1, second by 2 and so on, then the new mean is

a
x¯+n
b
x¯+n2
c
x¯+n+12
d
None of these

detailed solution

Correct option is C

Let x1,x2,…xn be the n items. Given, x¯=x1+x2+…+xnn∴  New mean =x1+1+x2+2+…+xn+nn=x1+x2+…+xn+(1+2+…+n)n=x¯+n(n+1)2n [∵ from Eq. (i) ]=x¯+(n+1)2

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