a, b, and c are distinct non-zero integers, and the standard deviation of {a, b, c} is greater than the standard deviation of {|a|, |b|, |c|}. If the range of {a, b, c} is 4, which of the following could be true?
I. The median of {a, b, c} is -2
II. The product of a, b, and c is a prime number
III. The mode of {|a|, |b|, |c|} is 1