Clarify. Is this group of 200 people the entire population, or merely a sample? If it’s a sample of a larger group, it’s entirely possible that the averages will be different, for the reasons that have already been pointed out. If this is the entire population, and each person can only have had sex with a member of the opposite sex within the population, then the average for the genders is mathematically guaranteed to be the same. I will prove this below.
It is one-to-one, except for threesomes and such, but even that will not change the fact that the average for each gender must be the same. And what do you mean by “onto”? Your post is too confusing to respond to definitively, so I’ll just prove what I’m saying.
You have a population of 100 men and 100 women.
Suppose one man has sex with all of the women. The average number of partners per woman is 1. The average number of partners per man is also 1. (1 man has had 100 partners, the other 99 have had 0. 100/100 = 1)
Suppose each man has had sex with only one woman, and each woman has had sex with only one man. Again, the average number of partners per person is 1, for both genders.
If we use your example, we can also see that the average will have to be the same for each gender.
50 of the men have had 10 partners each.
50 of the men have had 1 partner each.
The average number of partners per man is equal to ((50 * 10) + (50 * 1)) / 100. Or 5.5 partners per person.
So, we have 550 partnerships to account for. No matter how we divide them among the women, there will still have to be 550 partnerships among the women as well, so the average will have to be 5.5 partners per woman.
To look at it from the bottom up, if we have a population of 100 men and 100 women, the average number of partners per person will rise by .01 for each gender whenever there is a new partnership. It doesn’t matter who has sex with whom, the average raises the same amount every time a new pair has sex. This principle holds true for the real world as well, except because of the slight difference in proportion of men and women, the average will rise slightly more for the smaller segment of the population, men. So the average number of partners per man is necessarily larger than the number of partners per woman, but not by a particularly large difference, such as those often found by surveys, which are explainable only by imperfect sampling or lying. In the case of a 49:51 split, the average number of partners per person in the 49% group must necessarily be 98/24900 greater than the 51% group. That’s .000392156%.
