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Reconstructing dataset given mean, median and Stdev

  1. Aug 8, 2012 #1
    Wondering if it is possible to reconstruct a dataset if I give you the mean, median, standard deviation and N of a dataset.

    For example, if there are 20 students in a class. The mean of their exam score is 80, median is 85, standard deviation is 14. Of course the maximum score for the exam can only be 100 and minimum zero. I can also further tell you that one student got 96.

    Is there a way to reconstruct an approximate dataset to reflect these conditions? Thanks for your attention!
  2. jcsd
  3. Aug 8, 2012 #2


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    Science Advisor

    In the abstract you have 20 variables and only a few equations, so there are many possible solutions.
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