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why measure of central tendency is complementry to measure of dispersion
Dear Meha
If you are given a measure of central tendency without a measure of dispersion,you cant tell whether a data point far from the mean (or median or mode)is somehow abnormal or just part of the ordinary randomness.If you are given a measure of dispersion without a measure of central tendency,you have no idea where the next data point is likely to occur.Among young adult human males, mean height in the Dinanc Alps (6 ft 1 in)is 16% more than among the indigenous Aymara people in Bolivia (5 ft 3 in),yet within each of these populations, an individual whose height differs fromthe population mean by more than 16% is extremely rare. Knowing a meanAND a standard deviation for each of the two populations would enable you toverify my last statement ("extremely rare"), which you might not guess otherwise.
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