For the math to work out, the 10% of women who did not respond would have to have 45 partners, on average. I’m skeptical.
Math: The reported average among men is 9, thus the actual average is at least .9(9) + .1(0) = 8.1. If the missing tenth of women have an average of x partners, the actual overall average is .9(4) + .1(x) = 3.6 + x/10. Setting these equal, we get 8.1 = 3.6 + x/10, which yields x = 45.
For the math to work out, the 10% of women who did not respond would have to have 45 partners, on average. I’m skeptical.
Math: The reported average among men is 9, thus the actual average is at least .9(9) + .1(0) = 8.1. If the missing tenth of women have an average of x partners, the actual overall average is .9(4) + .1(x) = 3.6 + x/10. Setting these equal, we get 8.1 = 3.6 + x/10, which yields x = 45.
This creates an ethical dilemma for the scientists performing the study!