Something that immediately springs to mind is whether you took into account the resistance of any other connecting wires you used.
Also, when you start passing current through the wire (if that's what you were doing), its temperature increases, which increases the resistivity.
Other things might be that you did not take enough readings, or drew a graph a bit wonky.
Would need more info on the method before I could provide any more help...
EDIT: In response to your post, Wildfire, 110x10-8 is 1.1x10-6! And on the contrary, a 10% experimental error is not acceptable. Something is wrong. If she used a micrometer, then this is not the source of a 10% error, and she should have taken 5 or 6 readings of diameter along the length of the wire and averaged them. Maybe some equipment was not calibrated properly, or it's a different composition to 'standard' nichrome which we're getting these values for. There are many things that could be the problem.