the mean of N - observation is x if a is added to each of the nation then the new mean is
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mean of observation 'n' = x
hence the sum of 'n' observations = nx
if the first term increased by 1 , second by 2 and so on then sum of natural numbers from 1 to n is added
sum = (n(2)(1+n)
hence new sum = nx+(n/2)(1+n)/2
new mean ={nx+(n/2)(1+n)/n} = x+(1+n)/2
I hope this helps u
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