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Basic Statistics (Posted on 2007-03-26) Difficulty: 2 of 5
A set of seven positive integer numbers has the following properties:

  • The mode of the set is 1.
  • The mean of the set is 4.
  • The median of the set is 5, and occurs just once.
  • The range of the set is 6.
  • What are the numbers?

    See The Solution Submitted by Brian Smith    
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    Solution Solution | Comment 2 of 3 |

    The set of seven positive integer numbers is
    {1, 1, 1, 5, 6, 7, 7}.

    The mode (most common value) is 1 as it occurs thrice with all other numbers occurring no more than twice.

    The arithmetic mean (average) is 4 = [(1+1+1+5+6+7+7)/7].

    The statistical median (the "middle" value for an odd sample size) is 5.

    The statistical range (largest value minus smallest value) is 6 = [7 - 1].


      Posted by Dej Mar on 2007-03-26 09:04:12
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