Created
January 23, 2011 10:35
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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 | |
| = M - M | |
| = 0 |
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