The algebraic sum of deviations from mean is
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The algebraic sum of deviations of 8,3,7from the arithmetic mean 6 is
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Answer:
The algebraic sum of the deviations from the arithmetic mean is always zero.
For example: 2,5,8,11,14 be the observations.
The arithmetic mean is xˉ=52+5+8+11+14=540=8
The algebraic sum of the deviations from the arithmetic mean is ∑(xi−xˉ)
⟹∑(xi−8)=(2−8)+(5−8)+(8−8)+(11−8)+(14−8)
=−6−3+0+3+6=0
Therefore, the algebraic sum of the deviations from the arithmetic mean is always zero.
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