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Show that the sum of deviations is minimum when taken from arithmetic mean.

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Question added by Nitu Khanchandani
Date Posted: 2015/10/29
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sagar uparkar
by sagar uparkar , Manager , Icici Bank

Hi Riya,

Good evening.  The sum of the deviations from the mean of a measurement is always equal to0. The proof is as follows:

 

Σ(xi−x¯)=Σxi−Σx¯=Σxi−x¯Σ1=Σxi−x¯.n=Σxi−Σxi=0

I hope this will please you.

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