<PRE><B>Question 1020446</B>
7 being the mean of the eight numbers means that
{{{(5+8+x+x+6+y+6+5)/8 = (30+2x+y)/8 = 7}}}
==&gt; 30+2x+y = 56
==&gt; 2x+y = 26
Only two positive integers both less than 10 will satisfy the last equation, namely {{{highlight(x = 9)}}} and {{{highlight(y = 8)}}}.

Now that x and y are known, arrange the positive integers in an array:

5,5,6,6,8,8,9,9

The median of the data set will be the average of the two middle terms 6 and 8, namely {{{highlight(7)}}}.
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