Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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

    mathman

    User Avatar
    Science Advisor
    Gold Member

    In the abstract you have 20 variables and only a few equations, so there are many possible solutions.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook