Question 1144833
<pre>Suppose they are a,b,c,d,e, where {{{0<=a<=b<=c<=d<=e}}}.  Since five is an odd
number of numbers, the middle one, c, must be 11. Since their average is 9,

{{{(a+b+c+d+e)/5=9}}}
{{{a+b+c+d+e=45}}}

And since c=11

{{{a+b+11+d+e=45}}}

{{{a+b+d+e=34}}}

Since the mode is 11, there must be more than one 11 among them,  so either b=11
or d=11 or both.

If b=11, {{{a+11+d+e=34}}}, {{{a+d+e=23}}}
If d=11, {{{a+b+11+e=34}}}, {{{a+b+e=23}}}

We wonder if a can be 0, the smallest whole number. If so

{{{0+d+e=23}}} or {{{0+b+e=23}}}, which means

{{{d+e=23}}} or {{{b+e=23}}}

So d=11, e=12, or b=11, e=12

So the numbers can be a=0, b=11, c=11, d=11, e=12

and so the smallest whole number "a" can be is 0.

Edwin</pre>