When all nine integers are ordered from least to greatest the middle integer is one describe the integers chosen by the other two students

Question

5, -8, -1, -12, 120, and 1. When all nine integers are ordered from least to greatest the middle and Hunter is one describe the integers chosen by the other two students.

Answer 1

Only 6 integers are listed. If the middle integer is 1, there must be another integer less than 1 amongst the first 4 integers. That means -12, -8, -1 and some other less than 1. The largest value for the missing integer is 0, assuming there are no duplications. There must be two more integers greater than 1 to join 5 and 120. The minimum value of these missing integers is 2.