1. Median can be 5 .........consider......
x=4, y=3, z=21 here........average=8, median =5
so, condition 1 need not to be true always.
2. as average....8......and as the 2 given number is less than 8 so one of the x,y,z must be greater than 9.
3. as average 8 and minimum number atmost 5, so again the range must be greater than 2, so condition 3 also holds.