Question 963267
Let the scores be A, B, C, D, E in order from lowest to highest.
Since there are 5 scores, the third is the median.
{{{C=87}}}
Since the mode was 80, then A and B must be 80.
{{{A=80}}}
{{{B=80}}}
So then you know that D and E must be at least 87.
{{{(A+B+C+D+E)/5=86}}}
{{{80+80+87+D+E=430}}}
{{{D+E=183}}}
The minimum that D could be is 87.
So the maximum that E could be is,
{{{87+E=183}}}
{{{E=96}}}