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 from
the population mean by more than 16% is extremely rare. Knowing a mean
AND a standard deviation for each of the two populations would enable you to
verify my last statement ("extremely rare"), which you might not guess otherwise.

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