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I suspect you are referring to a sample frequency distribution.

Providing that the sample size is sufficiently large there are various kinds of information that can be gleaned from one:

  • the approximate range of values in the population
  • the location of the population as measured by the value that appears most often in the frequency distribution-known as its mode
  • the likely shape of the population's distribution, in particular whether it is symmetric or skewed
  • obviously how values of the population variable are distributed
  • whether there are any curious peaks or valleys, even when the sample size is large
  • the amount of variation around the central value
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