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Question
The algebraic sum of the deviations of a frequency distribution from its mean is __________.
The algebraic sum of the deviations of a frequency distribution from its mean is __________.
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Solution
The correct option is C 0
If xi's are the data and their mean is x, then x=(x1+x2+...+xn)n
The deviation is dxi=xi−xSum of deviations =x1+x2+x3+....+xn−nx
But we know that, nx=x1+x2+x3+...+xn⇒ Sum of deviations =0
If xi's are the data and their mean is x, then x=(x1+x2+...+xn)n
The deviation is dxi=xi−x
Sum of deviations =x1+x2+x3+....+xn−nx
But we know that, nx=x1+x2+x3+...+xn
⇒ Sum of deviations =0
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