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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