is significance more important than absolute value?

I have three groups and I'm comparing two graphs in each group using the t-test:
the absolute difference between two graphs in the first group is 34 with a p=0.024. (*)
The absolute difference in the second group is 28 with a p=0.04 (*)
and in the third group the absolute difference is 4 but the p value is=0.010 (**)
So How do I explain this data? The absolute value in the first and second group is higher however the significance is less than the comparison in group three where the absolute value difference between two groups is only 4.
So, should I say there was more change in group three (**) than in group 1 and 2 although the absolute difference (4) is less in this group?