Answer
All four of the numbers would be divided by the non-zero number.
Work Step by Step
Let an example set be the following: $1, 4, 6, 7, 8, 8, 8, 9, 10, 12$
Mean = 8 (appears three times)
Median = 8 (see below)
Range = 11 ($12-1$)
Average = 7.3 (see below)
$1, 4, 6, 7, 8, 8, 8, 9, 10, 12$
$4, 6, 7, 8, 8, 8, 9, 10$
$6, 7, 8, 8, 8, 9$
$7, 8, 8, 8$
$8, 8$
$1+4+6+7+8+8+8+9+10+12$
$5 + 13 + 24 + 9 +22$
$18+33 + 22 = 73$
$73/10 = 7.3$
If we divide each of the terms by the same non-zero number (say 2, as an example), we would have the following set: $.5, 2, 3, 3.5, 4, 4, 4, 4.5, 5, 6$
Mean = 4 (appears three times)
Median = 4 (see below)
Range = 5.5 ($6-.5$)
Average = 3.65 (see below)
$.5, 2, 3, 3.5, 4, 4, 4, 4.5, 5, 6$
$2, 3, 3.5, 4, 4, 4, 4.5, 5$
$3, 3.5, 4, 4, 4, 4.5$
$3.5, 4, 4, 4$
$4, 4$
$.5, 2, 3, 3.5, 4, 4, 4, 4.5, 5, 6$
$2.5 + 6.5 + 12 + 15.5$
$36.5/10 = 3.65$