5+5+5+5+1
That is only 5 numbers being added. There can be no answer for six numbers for the following reasons:
The numbers are all odd.
Two odd numbers make an even number.
Two even numbers make an even number.
21 is odd.
Take 6 odd numbers and add them up in pairs.
Each pair of odd numbers gives an even number so there are 3 even numbers.
Even + Even + Even = Even.
So sum of any six odd numbers is even but 21 is not even.
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It is not possible to make six odd numbers total an odd number, so this requires a little lateral thinking: 3 + 3 + 3 + 1 + 11, or you could invert one of the nines and make a six... 6 + 5 + 3 + 3 + 3 + 1...
Any pair of consecutive numbers will have an odd total. 10 and 12 are consecutive even numbers that total 22.
The median of that would be any of the two numbers that are the same.
You can choose any three numbers that total 10, but the sum of any two of those numbers must be greater than the third number. For example, Isosceles triangles : 3,3,4 : 4,4,2 Equilateral triangle : 3⅓,3⅓, 3⅓ Scalene triangle : 2, 3½, 4½
Irrational numbers are infinitely dense so that there are infinitely many irrational numbers between any to numbers. In fact, there are more irrational numbers between any two numbers than there are rational numbers in total!