Across cultures, women consistently scored higher than men on the Moral Foundations of Care, Fairness, and Purity, and these sex differences were larger in more gender-egalitarian societies.
"67 countries...women consistently showed higher concerns for Care, Fairness, and Purity in their moral judgements than did men. Sex differences in moral judgements were larger in individualist and gender-equal societies with more flexible social norms"
This looks really solid: 'Sex differences in moral judgements across 67 countries' From & Sophisticated modeling approaches to help answer some of the lingering questions.
Sex differences in moral judgements across 67 countries | Proceedings of the Royal Society B: Biological Sciences