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?
_ _ _ 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 20070326 11:36:35 