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Statement : Average distance of values from the mean is always 0. | |
Proof : Let values be n1, n2, n3....nn. | |
Then mean M = (sum (ni | i = 1 to n))/n | |
Average distance of values from mean | |
= ( (M - n1) + (M - n2) ... + (M-nn) ) / n | |
= ( M x n - (n1 + n2 + .... nn) ) / n | |
= M - (sum (ni | i = 1 to n))/n |
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