for (i=1; i<=value; i++)
cout << "Enter some values: ";
while (cin >> value)
cin >> counter[i];
middle = sum / value;
Is this really what you mean to do? It doesn't make any sense.
Did this even compile for you? (I don't think so - cin >> value??)
If it did, what you're doing is reading in (perhaps many) numbers till ctrl-z, adding the only the last read value to sum. Move to next array position, do it again. At the end, when you've gone through all hundred iterations (where you could have entered numbers infinite number of times) you find the average of whatever where the last read numbers in each cycle.
Perhaps you really need just the while loop, which ends either upon ctrl-z or the index counter reaching the max index. Be sure to increment that as you go along.
Also, is there a particular reason you allocate 101 elements to array and only use indexes 1-100? More common method would be
for( int i = 0; i < 100; i++ ) //note test is strictly less than size
//do something to arr[i]
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