Why is the min/max int when the scores are floats?
Also score[0] is undefined when you initialize the min/max. You should do that after getting the user to enter the scores. You can also directly check the min/maxes there.
Basically you would want to do something like:
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constint scores = 10;
float score[scores];
float min = 100.0f; //largest possible
float max = 0.0f; //lowest possible
for(int i = 0; i < scores; ++i)
{
cout << "enter score: ";
cin >> score[i];
if(score[i] > max) max = score[i];
if(score[i] < min) min = score[i];
}