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?
(In reply to
Explanation to Puzzle Answer by K Sengupta)
This is also a valid answer:
1, 1, 2, 5, 6, 6, 7 where the mean is 4, the median is 5, and the range is 6. In this case, there are two modes: 1 and 6.
This is a bimodal set."