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?
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 20070326 09:04:12 