the sum of deviation of the …

the sum of deviation of the item from the arithematic mean is always zero
  • 1 answers

Yogita Ingle 1 month, 1 week ago

The sum of the deviations of a given set of observations from their arithmetic mean is always zero. It is due to the property that the arithmetic mean is characterised as the centre of gravity. i.e. sum of positive deviation from the mean is equal to the sum of negative deviations.

For example:

3,4,6,8,14

x  =  3+4+6+8+14  /5

​  =7

∑(x i −  x )=−8+8=0

Hence, the sum of the deviations about mean is 0.

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