There are infinitely many possible answers:
{5.8, 5.8, 5.8, 5.8, 6.8}
or {5.5, 6, 6.5, 6-a and 6+a} where a is any number less than or equal to 0.5
are two options.
It is easy to prove that such a set of numbers cannot exist. If the median is -1 and the mean is different from the median, then there must be at least one number that is less than or equal to -1. Then, if the range is 6, the largest number can only be 5. If the largest number is 5 and the mean is 5, then all the numbers must be 5. That is not possible because there is at least one that is -1 or smaller.
Range: 5 Mean: 3
Yes.
4, 5, 5, 8, 8
The range is the difference between the largest number and smallest number; 1,4,7,12 - range is 12-1=11 Range is 11. The mode is the most frequent occurring number; 1,1,1,4,6,7, - mode is 1. Median is the halfway point between the numbers; 1,2,4,5,8,9,10 - median is 5. Mean is the 'average' of the set of numbers - 1+2+3+4=10/4=2.5
The numbers 3, 5, and 7 together have a range of 4 and a mean of 5.
It is easy to prove that such a set of numbers cannot exist. If the median is -1 and the mean is different from the median, then there must be at least one number that is less than or equal to -1. Then, if the range is 6, the largest number can only be 5. If the largest number is 5 and the mean is 5, then all the numbers must be 5. That is not possible because there is at least one that is -1 or smaller.
What Five Numbers have a range of 5 a median of 16 and a mean of 15
1, 5, 5, and 5 5+5+5+1=16/4=4 5-1=4
Range: 5 Mean: 3
The range of these numbers is 9 - 1 = 8.
Yes.
5
(1, 3, 3, 3, 5, 5, 6, 6, 8, 10)
The range is 7.
4, 5, 5, 8, 8
Range = Maximum - Minimum = 6 - 1 = 5