Answer:
3,3,4,6,6
4,4,5,6,7
5,5,6,6,8
Step-by-step explanation:
mode = n
median= n+1
mean = n+2
Range = n+3
let sets:
a,b,c,d,e
mode = n, at least two of them are the same and equal to n
n,n,c,d,e
median belong to the set, in ascending order:
n,n,n+1,d,e
which means d,e ≥ n+1, d≠e
mean is n+2
5(n+2)=n+n+n+1+d+e
2n+9=d+e
Assume e is the maximum:
Range is n+3:
e-n=n+3
e=2n+3
d=6≥n+1
n≤5,
Set is n,n,n+1,6,n+3
n+1≤6≤n+3
3≤n≤5
3,3,4,6,6 bimodal
4,4,5,6,7
5,5,6,6,8 bimodal
