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Mean of 'n' observations is X. if we add 1 into 1st Observation, 2 into 2nd observation and than so on so what will be new mean? ​

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Step-by-step explanation:

Mean of x1,X2,...xn is x

nx1+x2+x3+...+xn=x

⇒i=1∑nx=nx __(1)

on adding 1 to x1,2 to x2 and so on

we get x1+1+x2+2+...+xn+n

=(x1+x2+...+xn)+(1+2+...+n)

=∑n+2n(n+1)

NEW mean =nNewsummation

=n∑n+2n(n+1)



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