Answer:
1. no answer
2. medium=3
Step-by-step explanation:
1. Set the five number a,b,2.5,c,d (median=2.5)
mean=5 => a+b+2.5+c+d=5*5=25
because c=2.5, so 7.5 must be d or e
=>a+b+(d or e)= 25-2.5-7.5=15
(0,1, 2, 3, 7, 9, 10) only 2,3,10 can make it,
but 2, 2.5, 3, 7.5, 10 won't make 2.5 the medium
so, there no answer
2. make it a, b, c, d, e
mean=5 => a+b+c+d+e=5*5=25 (odd)
even (0,2,10) odd (1,3,7,9) and (2.5, 7.5)
odd+odd=even
odd=odd+even+even+even+even (not fit, only 3 even)
or odd +odd+odd+even+even (1,2,3,9,10)
or odd+odd+odd+odd+odd (not fit , only 4 odd)
or. odd+odd+odd+2.5+7.5 (not fit, sum of 3 odd= 15)
or. odd even+enen+2.5+7.5 (2, 2.5, 3, 7.5, 10)
2, 2.5, 3, 7.5, 10, medium=3
1,2,3,9,10, medium=3
so the largest medium = 3