GK
BUSINESS ECONOMICS
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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Depending on the numbers in a data set, the sum of deviations from the arithmetic mean for the set of numerical data may be greater than or less than zero.
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True
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False
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Either A or B
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None of the above
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Explanation:
Detailed explanation-1: -’The sum of deviations of the 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.
Detailed explanation-2: -Sum of the squares of the deviations is minimum when deviations are taken from mean as mean is the arithmetic average of the series and disperse the whole series into individual minimum value therefore the sum of their squares is minimum.
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