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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 Method Comment 3 of 3 |

    _ _ _ 5 _ _ _ all positives in order, median is 5

    1 1 _ _ _ _ _ need at least two ones to make the mode 1

    1 1 _ 5 _ _ 7 range is 6

    1 1 1 5 _ _ 7 reamaining blanks are 6 6 or 6 7 so need 1 1 1

    1 1 1 5 6 7 7 sum is 28 so mean is 4


      Posted by Jer on 2007-03-26 11:36:35
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