What is the sum of deviation of individual items of series from arithmetic mean in a series

Dear students
Individual series means when frequencies are not given. There are three methods to calculate mean Direct method ,shortcut method and step deviation method. In short cut method mean is calculated by sum of deviations. Deviations are calculated by subtracting each individual value of series from central value of series. All deviations above central value are negative and all deviations below central value are positive . So, the sum of all the deviations will always equal to zero.

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