The data is the output of two studies. In study 1 we tested the hypotheses that: Men are more likely to display the better-than-average effect than women, especially when comparing themselves to women. Men who score high on the better-than-average effect also have a bigger tendency to explain things, especially when speaking with women. In study 2 we tested the hypothesis that: Women are more prone to the interpretation bias than men, especially when speaking with men.