Find the Medoid

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Find the medoid of following statics 3 , 1 , 5 , 1 , 6 , 2 , 7

Note * Medoid - It is the point for which the difference(from mean) is minimum


The answer is 3.

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1 solution

Mohd Aasif
Feb 27, 2017

Medoid is that point whose Euclidean distance from Mean is minimum . So first find out the Mean

Mean = 3 + 1 + 5 + 1 + 6 + 2 + 7 7 \dfrac{3+1+5+1+6+2+7}{7} = 25 7 \dfrac{25}{7} = 3.55 |3-3.55| = 0.55 , |1-3.55| = 2.55 , |5-3.55| = 1.45 , |1-3.55| = 2.55 |6-3.55| = 2.45 , |2-3.55| = 1.55 , |7-3.55| = 3.45

so here minimum distance is 0.55 which is at 3 . So the Medoid is 3 .

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