I performed the Kruskal-Wallis one-way ANOVA by ranks on five groups of data using Dataplot software. The software corrects for ties and uses Conover's procedure to do pairwise multiple comparisons.
The result of the test is $H=5.62$ and $p=.229$ so the results are not significant ($p$ is not less than $.05$). However, the pairwise multiple comparisons show that the group 1 data significantly differs ($p<.05$) from the group 2 data.
I report that there are no significant differences in the five groups (because $p=.229$).
My question is this: I am using box plots to graphically represent the results. Should I indicate that the group 1 data and the group 2 data significantly differ even though the H-test says that there are no significant differences in the five groups of data?